57:@0.921538:0.966074:0.940353:0.966074:0.940353:0.949450:0.921538:0.949450:0.000000:0.000000 Propiedades de la radicación:@0.096359:0.137532:0.395950:0.137532:0.395950:0.115723:0.096359:0.115723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Las propiedades de la radicación de números enteros son las mismas que las de números naturales con :@0.096359:0.160313:0.908334:0.160313:0.908334:0.144644:0.096359:0.144644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.904208:0.160313:0.908244:0.160313:0.908244:0.144644:0.904208:0.144644:0.000000 el exponente un número natural distinto de cero.:@0.096359:0.176910:0.470435:0.176910:0.470435:0.161240:0.096359:0.161240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.197304:0.176910:0.206813:0.176910:0.206813:0.160549:0.197304:0.160549:0.000000 Ejemplo 1:@0.095800:0.386418:0.165306:0.386418:0.165306:0.371305:0.095800:0.371305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Obtenemos el resultado de las siguientes raíces, aplicando las propiedades.:@0.095800:0.410456:0.645747:0.410456:0.645747:0.394786:0.095800:0.394786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.124289:0.440468:0.143529:0.440468:0.143529:0.423332:0.124289:0.423332:0.000000:0.000000:0.000000 7:@0.167496:0.439209:0.176489:0.439209:0.176489:0.423539:0.167496:0.423539:0.000000 3:@0.176971:0.431548:0.182183:0.431548:0.182183:0.422467:0.176971:0.422467:0.000000 3:@0.157492:0.431668:0.162703:0.431668:0.162703:0.422587:0.157492:0.422587:0.000000 :@0.187964:0.440466:0.191687:0.440466:0.191687:0.423331:0.187964:0.423331:0.000000 :@0.216417:0.440466:0.220139:0.440466:0.220139:0.423331:0.216417:0.423331:0.000000 :@0.276727:0.440466:0.280449:0.440466:0.280449:0.423331:0.276727:0.423331:0.000000 b) :@0.337026:0.440466:0.368574:0.440466:0.368574:0.423331:0.337026:0.423331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 9:@0.383711:0.439209:0.392704:0.439209:0.392704:0.423539:0.383711:0.423539:0.000000 8:@0.393188:0.431548:0.398400:0.431548:0.398400:0.422467:0.393188:0.422467:0.000000 4:@0.373185:0.431668:0.378397:0.431668:0.378397:0.422587:0.373185:0.422587:0.000000 :@0.405437:0.440466:0.409160:0.440466:0.409160:0.423331:0.405437:0.423331:0.000000 :@0.457652:0.440466:0.461374:0.440466:0.461374:0.423331:0.457652:0.423331:0.000000 :@0.517960:0.440466:0.521683:0.440466:0.521683:0.423331:0.517960:0.423331:0.000000 c) :@0.578270:0.440466:0.603534:0.440466:0.603534:0.423331:0.578270:0.423331:0.000000:0.000000:0.000000:0.000000:0.000000 6:@0.619029:0.439209:0.628021:0.439209:0.628021:0.423539:0.619029:0.423539:0.000000 7:@0.628294:0.431548:0.633506:0.431548:0.633506:0.422467:0.628294:0.422467:0.000000 3:@0.608249:0.431668:0.613460:0.431668:0.613460:0.422587:0.608249:0.422587:0.000000 :@0.095800:0.473999:0.099523:0.473999:0.099523:0.456863:0.095800:0.456863:0.000000 :@0.124293:0.473999:0.128015:0.473999:0.128015:0.456863:0.124293:0.456863:0.000000 :@0.156108:0.473999:0.159831:0.473999:0.159831:0.456863:0.156108:0.456863:0.000000 d) :@0.216410:0.473999:0.244346:0.473999:0.244346:0.456863:0.216410:0.456863:0.000000:0.000000:0.000000:0.000000:0.000000 ×:@0.286601:0.473909:0.296718:0.473909:0.296718:0.458337:0.286601:0.458337:0.000000 100 4:@0.258333:0.473232:0.308216:0.473232:0.308216:0.457562:0.258333:0.457562:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.316388:0.473999:0.340757:0.473999:0.340757:0.456863:0.316388:0.456863:0.000000:0.000000:0.000000 :@0.397343:0.473999:0.401065:0.473999:0.401065:0.456863:0.397343:0.456863:0.000000 e) :@0.457655:0.473999:0.484338:0.473999:0.484338:0.456863:0.457655:0.456863:0.000000:0.000000:0.000000:0.000000:0.000000 −:@0.500892:0.457690:0.510768:0.457690:0.510768:0.442488:0.500892:0.442488:0.000000 1728:@0.510607:0.457028:0.547232:0.457028:0.547232:0.441732:0.510607:0.441732:0.000000:0.000000:0.000000:0.000000 27:@0.515212:0.476011:0.532571:0.476011:0.532571:0.460714:0.515212:0.460714:0.000000:0.000000 3:@0.488883:0.461862:0.493970:0.461862:0.493970:0.452997:0.488883:0.452997:0.000000 Solución:@0.095800:0.492335:0.156461:0.492335:0.156461:0.477222:0.095800:0.477222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.124292:0.513609:0.143530:0.513609:0.143530:0.496473:0.124292:0.496473:0.000000:0.000000:0.000000 Simplificamos el exponente y el índice de la raíz: 7:@0.152781:0.513609:0.541680:0.512755:0.541680:0.497085:0.152781:0.497939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.553105:0.513433:0.530347:0.513433:0.530347:0.497860:0.553105:0.497860:0.000000 =:@0.585980:0.513433:0.563221:0.513433:0.563221:0.497860:0.585980:0.497860:0.000000 7:@0.565359:0.512755:0.574352:0.512755:0.574352:0.497085:0.565359:0.497085:0.000000 7:@0.598234:0.512755:0.607227:0.512755:0.607227:0.497085:0.598234:0.497085:0.000000 3:@0.542162:0.505093:0.547374:0.505093:0.547374:0.496011:0.542162:0.496011:0.000000 3:@0.522682:0.505213:0.527894:0.505213:0.527894:0.496132:0.522682:0.496132:0.000000 3:@0.575664:0.495899:0.580876:0.495899:0.580876:0.486818:0.575664:0.486818:0.000000 3:@0.575664:0.507097:0.580876:0.507097:0.580876:0.498015:0.575664:0.498015:0.000000 b) :@0.124292:0.538339:0.144673:0.538339:0.144673:0.521203:0.124292:0.521203:0.000000:0.000000:0.000000 Simplificamos el exponente y el índice de la raíz: 9:@0.152781:0.538339:0.542093:0.539489:0.542093:0.523819:0.152781:0.522669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.553942:0.540167:0.529710:0.540167:0.529710:0.524594:0.553942:0.524594:0.000000 =:@0.588291:0.540167:0.564059:0.540167:0.564059:0.524594:0.588291:0.524594:0.000000 9:@0.566602:0.539489:0.575595:0.539489:0.575595:0.523819:0.566602:0.523819:0.000000 9:@0.600951:0.539489:0.609944:0.539489:0.609944:0.523819:0.600951:0.523819:0.000000 8:@0.542581:0.531827:0.547792:0.531827:0.547792:0.522745:0.542581:0.522745:0.000000 4:@0.522578:0.531947:0.527789:0.531947:0.527789:0.522866:0.522578:0.522866:0.000000 8:@0.577238:0.522633:0.582450:0.522633:0.582450:0.513552:0.577238:0.513552:0.000000 4:@0.577342:0.533831:0.582554:0.533831:0.582554:0.524750:0.577342:0.524750:0.000000 2:@0.610428:0.531827:0.615639:0.531827:0.615639:0.522746:0.610428:0.522746:0.000000 c) :@0.124292:0.562063:0.142111:0.562063:0.142111:0.544927:0.124292:0.544927:0.000000:0.000000:0.000000 Recordamos la propiedad de la potenciación: :@0.152781:0.562063:0.489710:0.562063:0.489710:0.546393:0.152781:0.546393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 producto de potencias de :@0.489931:0.562063:0.697935:0.562063:0.697935:0.545162:0.489931:0.545162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 bases iguales.:@0.152781:0.578659:0.262811:0.578659:0.262811:0.561758:0.152781:0.561758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.124292:0.602378:0.128014:0.602378:0.128014:0.585242:0.124292:0.585242:0.000000 6 = 6 × 6 × 6, se conserva la base y se suman exponentes.:@0.152781:0.602378:0.589784:0.602383:0.589784:0.586713:0.152781:0.586708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7:@0.161777:0.596336:0.167020:0.596336:0.167020:0.587200:0.161777:0.587200:0.000000 3:@0.195066:0.596336:0.200308:0.596336:0.200308:0.587200:0.195066:0.587200:0.000000 3:@0.228356:0.596336:0.233599:0.596336:0.233599:0.587200:0.228356:0.587200:0.000000 :@0.124285:0.634995:0.128321:0.634995:0.128321:0.619325:0.124285:0.619325:0.000000 Por lo tanto, 6 =:@0.152774:0.634995:0.290167:0.634995:0.290167:0.619325:0.152774:0.619325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7:@0.269574:0.627332:0.274785:0.627332:0.274785:0.618251:0.269574:0.618251:0.000000 3:@0.249528:0.627453:0.254740:0.627453:0.254740:0.618371:0.249528:0.618371:0.000000 :@0.290167:0.638771:0.298054:0.638771:0.298054:0.623101:0.290167:0.623101:0.000000:0.000000 ×:@0.332511:0.636554:0.343053:0.636554:0.343053:0.620326:0.332511:0.620326:0.000000 × =:@0.363773:0.636554:0.400987:0.636554:0.400987:0.620326:0.363773:0.620326:0.000000:0.000000:0.000000 ×:@0.437088:0.636554:0.447630:0.636554:0.447630:0.620326:0.437088:0.620326:0.000000 ×:@0.482906:0.636554:0.493448:0.636554:0.493448:0.620326:0.482906:0.620326:0.000000 = ××:@0.522616:0.636554:0.581760:0.636554:0.581760:0.620326:0.522616:0.620326:0.000000:0.000000:0.000000:0.000000 =:@0.610949:0.636554:0.621491:0.636554:0.621491:0.620326:0.610949:0.620326:0.000000 6:@0.314019:0.635848:0.323390:0.635848:0.323390:0.619519:0.314019:0.619519:0.000000 6:@0.345280:0.635848:0.354651:0.635848:0.354651:0.619519:0.345280:0.619519:0.000000 6:@0.376542:0.635848:0.385913:0.635848:0.385913:0.619519:0.376542:0.619519:0.000000 6:@0.417060:0.635848:0.426431:0.635848:0.426431:0.619519:0.417060:0.619519:0.000000 6:@0.462877:0.635848:0.472248:0.635848:0.472248:0.619519:0.462877:0.619519:0.000000 6 66:@0.508695:0.635848:0.569471:0.635848:0.569471:0.619519:0.508695:0.619519:0.000000:0.000000:0.000000:0.000000 6366:@0.597046:0.635848:0.665657:0.635848:0.665657:0.619519:0.597046:0.619519:0.000000:0.000000:0.000000:0.000000 3:@0.323892:0.627863:0.329322:0.627863:0.329322:0.618400:0.323892:0.618400:0.000000 3:@0.355152:0.627863:0.360583:0.627863:0.360583:0.618400:0.355152:0.618400:0.000000 3:@0.302780:0.627988:0.308211:0.627988:0.308211:0.618525:0.302780:0.618525:0.000000 3:@0.426944:0.627863:0.432375:0.627863:0.432375:0.618400:0.426944:0.618400:0.000000 3:@0.405833:0.627988:0.411264:0.627988:0.411264:0.618525:0.405833:0.618525:0.000000 3:@0.472773:0.627863:0.478203:0.627863:0.478203:0.618400:0.472773:0.618400:0.000000 3:@0.451661:0.627988:0.457092:0.627988:0.457092:0.618525:0.451661:0.618525:0.000000 3:@0.497490:0.628723:0.502920:0.628723:0.502920:0.619260:0.497490:0.619260:0.000000 3:@0.585808:0.628723:0.591238:0.628723:0.591238:0.619260:0.585808:0.619260:0.000000 3:@0.645057:0.628723:0.650488:0.628723:0.650488:0.619260:0.645057:0.619260:0.000000 d) :@0.124292:0.665005:0.144783:0.665005:0.144783:0.647870:0.124292:0.647870:0.000000:0.000000:0.000000 ×:@0.196498:0.666078:0.206615:0.666078:0.206615:0.650505:0.196498:0.650505:0.000000 =:@0.235344:0.666078:0.245460:0.666078:0.245460:0.650505:0.235344:0.650505:0.000000 ×=:@0.266339:0.666078:0.299859:0.666078:0.299859:0.650505:0.266339:0.650505:0.000000:0.000000 100:@0.166774:0.665400:0.193347:0.665400:0.193347:0.649730:0.166774:0.649730:0.000000:0.000000:0.000000 4102 20:@0.221633:0.665400:0.320203:0.665400:0.320203:0.649730:0.221633:0.649730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e) :@0.124292:0.703566:0.143530:0.703566:0.143530:0.686430:0.124292:0.686430:0.000000:0.000000:0.000000 −:@0.169381:0.697996:0.179498:0.697996:0.179498:0.682423:0.169381:0.682423:0.000000 =:@0.222932:0.706515:0.233048:0.706515:0.233048:0.690942:0.222932:0.690942:0.000000 −:@0.249578:0.697083:0.259695:0.697083:0.259695:0.681510:0.249578:0.681510:0.000000 =:@0.303129:0.706515:0.313246:0.706515:0.313246:0.690942:0.303129:0.690942:0.000000 −:@0.317263:0.697996:0.327380:0.697996:0.327380:0.682423:0.317263:0.682423:0.000000 =−:@0.348995:0.706515:0.371790:0.706515:0.371790:0.690942:0.348995:0.690942:0.000000:0.000000 1728:@0.179332:0.697318:0.217109:0.697318:0.217109:0.681648:0.179332:0.681648:0.000000:0.000000:0.000000:0.000000 27:@0.184363:0.716763:0.202145:0.716763:0.202145:0.701094:0.184363:0.701094:0.000000:0.000000 1728:@0.259547:0.696405:0.297324:0.696405:0.297324:0.680735:0.259547:0.680735:0.000000:0.000000:0.000000:0.000000 27:@0.264578:0.717469:0.282361:0.717469:0.282361:0.701799:0.264578:0.701799:0.000000:0.000000 12:@0.327251:0.697318:0.345033:0.697318:0.345033:0.681648:0.327251:0.681648:0.000000:0.000000 3:@0.326882:0.716763:0.335875:0.716763:0.335875:0.701094:0.326882:0.701094:0.000000 4:@0.371643:0.705837:0.380635:0.705837:0.380635:0.690168:0.371643:0.690168:0.000000 3:@0.157445:0.701522:0.162657:0.701522:0.162657:0.692441:0.157445:0.692441:0.000000 3:@0.239166:0.691663:0.244377:0.691663:0.244377:0.682582:0.239166:0.682582:0.000000 3:@0.254139:0.710643:0.259350:0.710643:0.259350:0.701562:0.254139:0.701562:0.000000 :@0.124292:0.727291:0.131737:0.727291:0.131737:0.710155:0.124292:0.710155:0.000000:0.000000 :@0.152785:0.727291:0.156507:0.727291:0.156507:0.710155:0.152785:0.710155:0.000000 En la radicación pueden aparecer los siguientes casos::@0.110882:0.750401:0.505799:0.750401:0.505799:0.734731:0.110882:0.734731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • Cuando la cantidad subradical es positiva y el índice es par, la raíz toma doble signo ±.:@0.121773:0.770566:0.764650:0.770566:0.764650:0.754896:0.121773:0.754896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo::@0.136017:0.791284:0.195815:0.791284:0.195815:0.774922:0.136017:0.774922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.195815:0.791284:0.199850:0.791284:0.199850:0.775614:0.195815:0.775614:0.000000 16:@0.210475:0.790249:0.228257:0.790249:0.228257:0.773860:0.210475:0.773860:0.000000:0.000000 4porque4:@0.255659:0.790249:0.343393:0.790249:0.343393:0.773860:0.255659:0.773860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 16 y( 4):@0.366428:0.790249:0.442497:0.790249:0.442497:0.773860:0.366428:0.773860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 16:@0.464684:0.790249:0.482467:0.790249:0.482467:0.773860:0.464684:0.773860:0.000000:0.000000 2:@0.344232:0.782598:0.349444:0.782598:0.349444:0.773100:0.344232:0.773100:0.000000 2:@0.442496:0.782598:0.447708:0.782598:0.447708:0.773100:0.442496:0.773100:0.000000 =±:@0.233038:0.790927:0.255833:0.790927:0.255833:0.775354:0.233038:0.775354:0.000000:0.000000 =:@0.354495:0.790927:0.364612:0.790927:0.364612:0.775354:0.354495:0.775354:0.000000 −:@0.416172:0.790927:0.426289:0.790927:0.426289:0.775354:0.416172:0.775354:0.000000 =:@0.452751:0.790927:0.462868:0.790927:0.462868:0.775354:0.452751:0.775354:0.000000 :@0.499355:0.791272:0.507426:0.791272:0.507426:0.775603:0.499355:0.775603:0.000000:0.000000 • Cuando la cantidad subradical es positiva y el índice es impar, la raíz es positiva.:@0.121772:0.811437:0.715327:0.811438:0.715327:0.795768:0.121772:0.795767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo::@0.136017:0.835088:0.195815:0.835088:0.195815:0.818727:0.136017:0.818727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.195815:0.835088:0.199850:0.835088:0.199850:0.819418:0.195815:0.819418:0.000000 =:@0.226651:0.834314:0.236767:0.834314:0.236767:0.818741:0.226651:0.818741:0.000000 =:@0.339723:0.834314:0.349839:0.834314:0.349839:0.818741:0.339723:0.818741:0.000000 82 porque 2:@0.213309:0.833636:0.330159:0.833636:0.330159:0.817247:0.213309:0.817247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8:@0.352419:0.833636:0.361412:0.833636:0.361412:0.817247:0.352419:0.817247:0.000000 3:@0.202884:0.826810:0.208096:0.826810:0.208096:0.817312:0.202884:0.817312:0.000000 3:@0.330250:0.825984:0.335461:0.825984:0.335461:0.816486:0.330250:0.816486:0.000000 • Cuando la cantidad subradical es negativa y el índice es impar, la raíz es negativa.:@0.121766:0.855250:0.728330:0.855250:0.728330:0.839580:0.121766:0.839580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo::@0.136010:0.878001:0.195808:0.878001:0.195808:0.861640:0.136010:0.861640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.195808:0.878001:0.199844:0.878001:0.199844:0.862331:0.195808:0.862331:0.000000 ( ):@0.342661:0.879484:0.375499:0.879484:0.375499:0.859083:0.342661:0.859083:0.000000:0.000000:0.000000 −= −:@0.211992:0.877612:0.259536:0.877612:0.259536:0.862040:0.211992:0.862040:0.000000:0.000000:0.000000:0.000000 −:@0.349886:0.877612:0.360003:0.877612:0.360003:0.862040:0.349886:0.862040:0.000000 =−:@0.385212:0.877612:0.409094:0.877612:0.409094:0.862040:0.385212:0.862040:0.000000:0.000000 8:@0.221940:0.876935:0.230933:0.876935:0.230933:0.860546:0.221940:0.860546:0.000000 2 porque:@0.259366:0.876935:0.337481:0.876935:0.337481:0.860546:0.259366:0.860546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.359832:0.876935:0.368825:0.876935:0.368825:0.860546:0.359832:0.860546:0.000000 8:@0.408942:0.876935:0.417935:0.876935:0.417935:0.860546:0.408942:0.860546:0.000000 3:@0.201195:0.870107:0.206407:0.870107:0.206407:0.860609:0.201195:0.860609:0.000000 3:@0.375380:0.867515:0.380592:0.867515:0.380592:0.858017:0.375380:0.858017:0.000000 • Cuando la cantidad subradical es negativa y el índice es par, la raíz no está definida en el conjunto de los :@0.121766:0.898162:0.844219:0.898162:0.844219:0.882492:0.121766:0.882492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 números enteros.:@0.136010:0.914758:0.255604:0.914758:0.255604:0.899088:0.136010:0.899088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo::@0.136010:0.938519:0.195808:0.938519:0.195808:0.922157:0.136010:0.922157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.195808:0.938519:0.199844:0.938519:0.199844:0.922849:0.195808:0.922849:0.000000 −:@0.213668:0.938895:0.223784:0.938895:0.223784:0.923322:0.213668:0.923322:0.000000 =:@0.245345:0.938895:0.255461:0.938895:0.255461:0.923322:0.245345:0.923322:0.000000 25:@0.223619:0.938217:0.241401:0.938217:0.241401:0.921829:0.223619:0.921829:0.000000:0.000000 no está denida en el conjunto de losnúmeros enteros.:@0.263293:0.938217:0.660354:0.938217:0.660354:0.921829:0.263293:0.921829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si hay una discapacidad :@0.733044:0.607270:0.895927:0.607270:0.895927:0.593025:0.733044:0.593025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 o dificultades visuales, :@0.733044:0.622358:0.884348:0.622358:0.884348:0.608112:0.733044:0.608112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 es necesario ayudarnos :@0.733044:0.637445:0.892138:0.637445:0.892138:0.623200:0.733044:0.623200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 unos a otros, ya sea con :@0.733044:0.652533:0.894753:0.652533:0.894753:0.638288:0.733044:0.638288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 una explicación de los :@0.733044:0.667621:0.884703:0.667621:0.884703:0.653375:0.733044:0.653375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sucesos visuales o con :@0.733044:0.682708:0.885893:0.682708:0.885893:0.668463:0.733044:0.668463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 un resumen de lo que :@0.733044:0.697796:0.883916:0.697796:0.883916:0.683551:0.733044:0.683551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sucede alrededor.:@0.733044:0.712883:0.851096:0.712883:0.851096:0.698638:0.733044:0.698638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 DFA:@0.765616:0.582760:0.797974:0.582760:0.797974:0.565860:0.765616:0.565860:0.000000:0.000000:0.000000 Propiedad:@0.141748:0.208295:0.219496:0.208295:0.219496:0.192717:0.141748:0.192717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Enunciado:@0.323394:0.208295:0.402382:0.208295:0.402382:0.192717:0.323394:0.192717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Expresión algebraica:@0.473261:0.208295:0.628923:0.208295:0.628923:0.192717:0.473261:0.192717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplos:@0.738250:0.208295:0.806801:0.208295:0.806801:0.192717:0.738250:0.192717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Raíz n-ésima de la :@0.103435:0.241311:0.226564:0.241311:0.226564:0.227066:0.103435:0.227066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n-ésima potencia:@0.103435:0.256399:0.219528:0.256399:0.219528:0.242154:0.103435:0.242154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La raíz n-ésima de la n-ési-:@0.272065:0.233767:0.447392:0.233767:0.447392:0.219522:0.272065:0.219522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ma potencia es igual a la :@0.272065:0.248855:0.440125:0.248855:0.440125:0.234610:0.272065:0.234610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cantidad subradical.:@0.272065:0.263943:0.405211:0.263943:0.405211:0.249697:0.272065:0.249697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.520855:0.250493:0.529960:0.250493:0.529960:0.236478:0.520855:0.236478:0.000000 =:@0.587294:0.250493:0.596399:0.250493:0.596399:0.236478:0.587294:0.236478:0.000000 ÷:@0.554684:0.243341:0.559961:0.243341:0.559961:0.235219:0.554684:0.235219:0.000000 =:@0.571226:0.243341:0.576503:0.243341:0.576503:0.235219:0.571226:0.235219:0.000000 a:@0.501254:0.249884:0.509597:0.249884:0.509597:0.235158:0.501254:0.235158:0.000000 a:@0.537011:0.249884:0.545354:0.249884:0.545354:0.235158:0.537011:0.235158:0.000000 a:@0.599686:0.249884:0.608028:0.249884:0.608028:0.235158:0.599686:0.235158:0.000000 n:@0.510301:0.242988:0.515260:0.242988:0.515260:0.234454:0.510301:0.234454:0.000000 n:@0.491452:0.243096:0.496412:0.243096:0.496412:0.234562:0.491452:0.234562:0.000000 n:@0.546056:0.242988:0.551016:0.242988:0.551016:0.234454:0.546056:0.234454:0.000000 n:@0.562780:0.242988:0.567740:0.242988:0.567740:0.234454:0.562780:0.234454:0.000000 1:@0.579656:0.242988:0.584346:0.242988:0.584346:0.234815:0.579656:0.234815:0.000000 1:@0.607924:0.242988:0.612614:0.242988:0.612614:0.234815:0.607924:0.234815:0.000000 21:@0.662071:0.250893:0.678075:0.250893:0.678075:0.236790:0.662071:0.236790:0.000000:0.000000 6:@0.675923:0.243997:0.680614:0.243997:0.680614:0.235824:0.675923:0.235824:0.000000 6:@0.652605:0.244105:0.657296:0.244105:0.657296:0.235932:0.652605:0.235932:0.000000 :@0.690335:0.256080:0.694738:0.256080:0.694738:0.238985:0.690335:0.238985:0.000000 = 21:@0.694738:0.251679:0.724741:0.251679:0.724741:0.237434:0.694738:0.237434:0.000000:0.000000:0.000000:0.000000 6 ÷ 6 = 1:@0.724740:0.246181:0.759236:0.246181:0.759236:0.237876:0.724740:0.237876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = 21:@0.759236:0.251679:0.792909:0.251679:0.792909:0.237434:0.759236:0.237434:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.792907:0.246181:0.797673:0.246181:0.797673:0.237876:0.792907:0.237876:0.000000 Raíz de un producto:@0.103426:0.295166:0.238666:0.295166:0.238666:0.280921:0.103426:0.280921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Es igual al producto de las :@0.272056:0.287623:0.449160:0.287623:0.449160:0.273377:0.272056:0.273377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 raíces de sus factores.:@0.272056:0.302710:0.415084:0.302710:0.415084:0.288465:0.272056:0.288465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ab:@0.480273:0.297711:0.496675:0.297711:0.500809:0.283609:0.484407:0.283609:0.000000:0.000000 n:@0.470856:0.291559:0.476008:0.291559:0.478404:0.283385:0.473252:0.283385:0.000000 =:@0.506476:0.300089:0.518457:0.300089:0.518457:0.282995:0.506476:0.282995:0.000000 ⋅:@0.542628:0.297989:0.546774:0.297989:0.546774:0.283974:0.542628:0.283974:0.000000 a:@0.530785:0.297379:0.538314:0.297379:0.542448:0.283277:0.534919:0.283277:0.000000 b:@0.557785:0.297379:0.566940:0.297379:0.571074:0.283277:0.561919:0.283277:0.000000 n:@0.521368:0.291227:0.526520:0.291227:0.528916:0.283053:0.523764:0.283053:0.000000 n:@0.548694:0.291227:0.553846:0.291227:0.556242:0.283053:0.551090:0.283053:0.000000 ×:@0.678892:0.297002:0.687997:0.297002:0.687997:0.282987:0.678892:0.282987:0.000000 =:@0.709524:0.297002:0.718629:0.297002:0.718629:0.282987:0.709524:0.282987:0.000000 ×:@0.750323:0.297002:0.759428:0.297002:0.759428:0.282987:0.750323:0.282987:0.000000 = ×=:@0.792216:0.297002:0.843347:0.297002:0.843347:0.282987:0.792216:0.282987:0.000000:0.000000:0.000000:0.000000 25 36:@0.662075:0.296392:0.705593:0.296392:0.705593:0.282290:0.662075:0.282290:0.000000:0.000000:0.000000:0.000000:0.000000 25:@0.732179:0.296392:0.748183:0.296392:0.748183:0.282290:0.732179:0.282290:0.000000:0.000000 36 56 30:@0.772281:0.296392:0.861640:0.296392:0.861640:0.282290:0.772281:0.282290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Raíz de una fracción:@0.103426:0.341799:0.236976:0.341799:0.236976:0.327553:0.103426:0.327553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Es igual al cociente de la :@0.272056:0.326711:0.438003:0.326711:0.438003:0.312466:0.272056:0.312466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 raíz del numerador entre la :@0.272056:0.341799:0.455543:0.341799:0.455543:0.327553:0.272056:0.327553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 raíz del denominador.:@0.272056:0.356886:0.417046:0.356886:0.417046:0.342641:0.272056:0.342641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.497205:0.342188:0.506310:0.342188:0.506310:0.328173:0.497205:0.328173:0.000000 a:@0.483208:0.333513:0.491550:0.333513:0.491550:0.318788:0.483208:0.318788:0.000000 b:@0.483025:0.351014:0.491367:0.351014:0.491367:0.336288:0.483025:0.336288:0.000000 a:@0.522182:0.333513:0.530524:0.333513:0.530524:0.318788:0.522182:0.318788:0.000000 b:@0.522033:0.351648:0.530375:0.351648:0.530375:0.336923:0.522033:0.336923:0.000000 n:@0.472045:0.337972:0.477005:0.337972:0.477005:0.329438:0.472045:0.329438:0.000000 n:@0.512376:0.327360:0.517335:0.327360:0.517335:0.318827:0.512376:0.318827:0.000000 n:@0.512568:0.345503:0.517527:0.345503:0.517527:0.336969:0.512568:0.336969:0.000000 =:@0.692225:0.342419:0.648507:0.342419:0.648507:0.328403:0.692225:0.328403:0.000000 =:@0.745048:0.342419:0.701330:0.342419:0.701330:0.328403:0.745048:0.328403:0.000000 512:@0.663389:0.334135:0.687304:0.334135:0.687304:0.320033:0.663389:0.320033:0.000000:0.000000:0.000000 27:@0.667204:0.351636:0.683208:0.351636:0.683208:0.337533:0.667204:0.337533:0.000000:0.000000 512:@0.716212:0.334135:0.740127:0.334135:0.740127:0.320033:0.716212:0.320033:0.000000:0.000000:0.000000 27:@0.719977:0.352271:0.735981:0.352271:0.735981:0.338168:0.719977:0.338168:0.000000:0.000000 8:@0.757757:0.334135:0.765850:0.334135:0.765850:0.320033:0.757757:0.320033:0.000000 3:@0.758089:0.351636:0.766182:0.351636:0.766182:0.337533:0.758089:0.337533:0.000000 3:@0.652647:0.338590:0.657338:0.338590:0.657338:0.330417:0.652647:0.330417:0.000000 3:@0.706829:0.327979:0.711519:0.327979:0.711519:0.319806:0.706829:0.319806:0.000000 3:@0.710596:0.346122:0.715287:0.346122:0.715287:0.337948:0.710596:0.337948:0.000000 Se puede usar :@0.733602:0.423029:0.831788:0.423029:0.831788:0.408784:0.733602:0.408784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 exponentes racionales :@0.733602:0.438117:0.886884:0.438117:0.886884:0.423871:0.733602:0.423871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 para expresiones :@0.733602:0.453204:0.849795:0.453204:0.849795:0.438959:0.733602:0.438959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 radicales. Para eso se :@0.733602:0.468292:0.874890:0.468292:0.874890:0.454047:0.733602:0.454047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 utiliza la siguiente regla::@0.733602:0.483379:0.892379:0.483379:0.892379:0.469134:0.733602:0.469134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplos: :@0.733602:0.499309:0.797361:0.499309:0.797361:0.485064:0.733602:0.485064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Sabías que?:@0.766173:0.398518:0.868041:0.398518:0.868041:0.381617:0.766173:0.381617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.740298:0.518559:0.745673:0.518559:0.745673:0.509069:0.740298:0.509069:0.000000 a:@0.762613:0.518559:0.767989:0.518559:0.767989:0.509069:0.762613:0.509069:0.000000 a:@0.745126:0.536993:0.750502:0.536993:0.750502:0.527504:0.745126:0.527504:0.000000 a:@0.772272:0.536993:0.777648:0.536993:0.777648:0.527504:0.772272:0.527504:0.000000 m:@0.746005:0.514115:0.750923:0.514115:0.750923:0.508615:0.746005:0.508615:0.000000 n:@0.733983:0.514184:0.737179:0.514184:0.737179:0.508685:0.733983:0.508685:0.000000 m:@0.768809:0.508782:0.773727:0.508782:0.773727:0.503283:0.768809:0.503283:0.000000 n:@0.769780:0.515276:0.772976:0.515276:0.772976:0.509777:0.769780:0.509777:0.000000 n:@0.738811:0.533029:0.742007:0.533029:0.742007:0.527530:0.738811:0.527530:0.000000 m:@0.756513:0.529817:0.761431:0.529817:0.761431:0.524318:0.756513:0.524318:0.000000 m:@0.778464:0.527219:0.783382:0.527219:0.783382:0.521719:0.778464:0.521719:0.000000 n:@0.779436:0.533713:0.782632:0.533713:0.782632:0.528213:0.779436:0.528213:0.000000 =:@0.754629:0.518952:0.760497:0.518952:0.760497:0.509920:0.754629:0.509920:0.000000 =:@0.764280:0.537384:0.770148:0.537384:0.770148:0.528352:0.764280:0.528352:0.000000 a:@0.792042:0.518809:0.797418:0.518809:0.797418:0.509320:0.792042:0.509320:0.000000 a:@0.799300:0.537245:0.804675:0.537245:0.804675:0.527755:0.799300:0.527755:0.000000 a:@0.815448:0.537245:0.820824:0.537245:0.820824:0.527755:0.815448:0.527755:0.000000 64:@0.812537:0.518809:0.822851:0.518809:0.822851:0.509721:0.812537:0.509721:0.000000:0.000000 64:@0.845391:0.518809:0.855704:0.518809:0.855704:0.509721:0.845391:0.509721:0.000000:0.000000 8:@0.866434:0.518809:0.871650:0.518809:0.871650:0.509721:0.866434:0.509721:0.000000 64:@0.835827:0.537245:0.846140:0.537245:0.846140:0.528157:0.835827:0.528157:0.000000:0.000000 64:@0.868562:0.537245:0.878876:0.537245:0.878876:0.528157:0.868562:0.528157:0.000000:0.000000 4:@0.890034:0.537245:0.895249:0.537245:0.895249:0.528157:0.890034:0.528157:0.000000 1:@0.798480:0.509033:0.801503:0.509033:0.801503:0.503766:0.798480:0.503766:0.000000 2:@0.798237:0.515528:0.801260:0.515528:0.801260:0.510261:0.798237:0.510261:0.000000 1:@0.824075:0.509033:0.827097:0.509033:0.827097:0.503766:0.824075:0.503766:0.000000 2:@0.823832:0.515528:0.826854:0.515528:0.826854:0.510261:0.823832:0.510261:0.000000 3:@0.793042:0.533281:0.796065:0.533281:0.796065:0.528014:0.793042:0.528014:0.000000 1:@0.821825:0.527470:0.824848:0.527470:0.824848:0.522203:0.821825:0.522203:0.000000 3:@0.821645:0.533964:0.824668:0.533964:0.824668:0.528697:0.821645:0.528697:0.000000 1:@0.847300:0.527470:0.850323:0.527470:0.850323:0.522203:0.847300:0.522203:0.000000 3:@0.847121:0.533964:0.850143:0.533964:0.850143:0.528697:0.847121:0.528697:0.000000 3:@0.862302:0.533281:0.865324:0.533281:0.865324:0.528014:0.862302:0.528014:0.000000 =:@0.804553:0.519202:0.784824:0.519202:0.784824:0.510170:0.804553:0.510170:0.000000 =:@0.830150:0.519202:0.810421:0.519202:0.810421:0.510170:0.830150:0.510170:0.000000 =:@0.858653:0.519202:0.864521:0.519202:0.864521:0.510170:0.858653:0.510170:0.000000 =:@0.807466:0.537638:0.792963:0.537638:0.792963:0.528606:0.807466:0.528606:0.000000 =:@0.827837:0.537638:0.813334:0.537638:0.813334:0.528606:0.827837:0.528606:0.000000 =:@0.853316:0.537638:0.830669:0.537638:0.830669:0.528606:0.853316:0.528606:0.000000 =:@0.881830:0.537638:0.859183:0.537638:0.859183:0.528606:0.881830:0.528606:0.000000 64:@0.717253:0.334917:0.735238:0.334917:0.735238:0.319248:0.717253:0.319248:0.000000:0.000000 4:@0.757191:0.334917:0.766183:0.334917:0.766183:0.319248:0.757191:0.319248:0.000000 2:@0.757191:0.352560:0.766183:0.352560:0.766183:0.336890:0.757191:0.336890:0.000000 8:@0.724510:0.352560:0.733503:0.352560:0.733503:0.336890:0.724510:0.336890:0.000000 8:@0.670375:0.352560:0.679367:0.352560:0.679367:0.336890:0.670375:0.336890:0.000000 64:@0.664686:0.334917:0.682671:0.334917:0.682671:0.319248:0.664686:0.319248:0.000000:0.000000 ;:@0.773898:0.519793:0.776230:0.519793:0.776230:0.508397:0.773898:0.508397:0.000000 ;:@0.783212:0.538029:0.785544:0.538029:0.785544:0.526633:0.783212:0.526633:0.000000 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000 maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000 ®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000