61:@0.921538:0.966074:0.940353:0.966074:0.940353:0.949450:0.921538:0.949450:0.000000:0.000000
Amplía :@0.733044:0.457087:0.785244:0.457087:0.785244:0.441974:0.733044:0.441974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tu conocimiento :@0.785077:0.457087:0.897701:0.457087:0.897701:0.442842:0.785077:0.442842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre racionalización :@0.733044:0.472174:0.876964:0.472174:0.876964:0.457929:0.733044:0.457929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingresando al siguiente :@0.733044:0.487262:0.891972:0.487262:0.891972:0.473017:0.733044:0.473017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace: :@0.733044:0.502350:0.783485:0.502350:0.783485:0.488104:0.733044:0.488104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/9m06:@0.783485:0.502350:0.873395:0.502350:0.873395:0.487224:0.783485:0.487224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.747853:0.431188:0.898755:0.431188:0.898755:0.414287:0.747853:0.414287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.096359:0.286419:0.165865:0.286419:0.165865:0.271307:0.096359:0.271307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Racionalizar la expresión obtenida como resultado en la situación inicial.:@0.096359:0.310459:0.624068:0.310459:0.624068:0.294789:0.096359:0.294789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096359:0.328796:0.157020:0.328796:0.157020:0.313683:0.096359:0.313683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.135623:0.367092:0.140230:0.367092:0.140230:0.351519:0.135623:0.351519:0.000000
=:@0.179555:0.367092:0.189671:0.367092:0.189671:0.351519:0.179555:0.351519:0.000000
=:@0.240071:0.367092:0.250188:0.367092:0.250188:0.351519:0.240071:0.351519:0.000000
8:@0.111870:0.357452:0.120863:0.357452:0.120863:0.341782:0.111870:0.341782:0.000000
37:@0.112976:0.377603:0.130758:0.377603:0.130758:0.361933:0.112976:0.361933:0.000000:0.000000
37:@0.155599:0.357452:0.173381:0.357452:0.173381:0.341782:0.155599:0.341782:0.000000:0.000000
37:@0.155599:0.377603:0.173381:0.377603:0.173381:0.361933:0.155599:0.361933:0.000000:0.000000
837:@0.194444:0.357452:0.233898:0.357452:0.233898:0.341782:0.194444:0.341782:0.000000:0.000000:0.000000
37:@0.207868:0.379458:0.225651:0.379458:0.225651:0.363789:0.207868:0.363789:0.000000:0.000000
837:@0.254930:0.357456:0.294384:0.357456:0.294384:0.341786:0.254930:0.341786:0.000000:0.000000:0.000000
37:@0.266485:0.376901:0.284267:0.376901:0.284267:0.361231:0.266485:0.361231:0.000000:0.000000
2:@0.226138:0.371796:0.231350:0.371796:0.231350:0.362715:0.226138:0.362715:0.000000
 Multiplicamos el numerador y el denominador:@0.300738:0.366414:0.646533:0.366414:0.646533:0.350744:0.300738:0.350744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por  37  y aplicamos propiedades.:@0.096357:0.403562:0.354230:0.403565:0.354230:0.387895:0.096357:0.387892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.096359:0.548910:0.165865:0.548910:0.165865:0.533797:0.096359:0.533797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Racionalizar :@0.096359:0.572697:0.187428:0.572697:0.187428:0.557027:0.096359:0.557027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.216430:0.585829:0.226547:0.585829:0.226547:0.570256:0.216430:0.570256:0.000000
6:@0.217164:0.564996:0.226157:0.564996:0.226157:0.549326:0.217164:0.549326:0.000000
5:@0.204023:0.585152:0.213016:0.585152:0.213016:0.569482:0.204023:0.569482:0.000000
3:@0.241818:0.585152:0.250811:0.585152:0.250811:0.569482:0.241818:0.569482:0.000000
Solución:@0.096359:0.602350:0.157020:0.602350:0.157020:0.587238:0.096359:0.587238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicamos el numerador y el denominador por  5:@0.096359:0.621108:0.495723:0.622365:0.495723:0.606696:0.096359:0.605438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.499132:0.623043:0.509249:0.623043:0.509249:0.607470:0.499132:0.607470:0.000000
3:@0.524525:0.622365:0.533518:0.622365:0.533518:0.606696:0.524525:0.606696:0.000000
(:@0.261109:0.655028:0.267245:0.655028:0.267245:0.626840:0.261109:0.626840:0.000000
) (:@0.328849:0.655028:0.370385:0.655028:0.370385:0.626840:0.328849:0.626840:0.000000:0.000000:0.000000
):@0.431988:0.655028:0.438125:0.655028:0.438125:0.626840:0.431988:0.626840:0.000000
(:@0.464754:0.667523:0.470891:0.667523:0.470891:0.639336:0.464754:0.639336:0.000000
):@0.532494:0.667523:0.538631:0.667523:0.538631:0.639336:0.532494:0.639336:0.000000
+:@0.125362:0.673052:0.135479:0.673052:0.135479:0.657479:0.125362:0.657479:0.000000
⋅:@0.163839:0.661855:0.168446:0.661855:0.168446:0.646282:0.163839:0.646282:0.000000
−:@0.196198:0.652893:0.206315:0.652893:0.206315:0.637320:0.196198:0.637320:0.000000
−:@0.196193:0.673052:0.206310:0.673052:0.206310:0.657479:0.196193:0.657479:0.000000
=:@0.235980:0.661855:0.246097:0.661855:0.246097:0.646282:0.235980:0.646282:0.000000
−:@0.292885:0.649366:0.303001:0.649366:0.303001:0.633793:0.292885:0.633793:0.000000
−:@0.287546:0.672345:0.297662:0.672345:0.297662:0.656773:0.287546:0.656773:0.000000
=:@0.339111:0.661855:0.349228:0.661855:0.349228:0.646282:0.339111:0.646282:0.000000
−:@0.396016:0.649366:0.406133:0.649366:0.406133:0.633793:0.396016:0.633793:0.000000
=:@0.442251:0.661855:0.452367:0.661855:0.452367:0.646282:0.442251:0.646282:0.000000
−:@0.496539:0.661855:0.506655:0.661855:0.506655:0.646282:0.496539:0.646282:0.000000
=:@0.541293:0.661855:0.551409:0.661855:0.551409:0.646282:0.541293:0.646282:0.000000
−:@0.587988:0.661855:0.598105:0.661855:0.598105:0.646282:0.587988:0.646282:0.000000
6:@0.126094:0.652219:0.135087:0.652219:0.135087:0.636549:0.126094:0.636549:0.000000
5:@0.112955:0.672374:0.121947:0.672374:0.121947:0.656705:0.112955:0.656705:0.000000
3:@0.150750:0.672374:0.159742:0.672374:0.159742:0.656705:0.150750:0.656705:0.000000
5:@0.183786:0.652219:0.192779:0.652219:0.192779:0.636549:0.183786:0.636549:0.000000
3:@0.221581:0.652219:0.230574:0.652219:0.230574:0.636549:0.221581:0.636549:0.000000
5:@0.183786:0.672374:0.192779:0.672374:0.192779:0.656705:0.183786:0.656705:0.000000
3:@0.221581:0.672374:0.230574:0.672374:0.230574:0.656705:0.221581:0.656705:0.000000
6:@0.251215:0.648683:0.260207:0.648683:0.260207:0.633013:0.251215:0.633013:0.000000
5:@0.280478:0.648683:0.289471:0.648683:0.289471:0.633013:0.280478:0.633013:0.000000
3:@0.318273:0.648683:0.327266:0.648683:0.327266:0.633013:0.318273:0.633013:0.000000
53:@0.276608:0.671669:0.309428:0.671669:0.309428:0.655999:0.276608:0.655999:0.000000:0.000000
6:@0.354354:0.648683:0.363347:0.648683:0.363347:0.633013:0.354354:0.633013:0.000000
5:@0.383617:0.648683:0.392610:0.648683:0.392610:0.633013:0.383617:0.633013:0.000000
3:@0.421412:0.648683:0.430405:0.648683:0.430405:0.633013:0.421412:0.633013:0.000000
2:@0.391412:0.671669:0.400405:0.671669:0.400405:0.655999:0.391412:0.655999:0.000000
3:@0.455651:0.661172:0.464644:0.661172:0.464644:0.645502:0.455651:0.645502:0.000000
5:@0.484140:0.661172:0.493133:0.661172:0.493133:0.645502:0.484140:0.645502:0.000000
3:@0.521935:0.661172:0.530928:0.661172:0.530928:0.645502:0.521935:0.645502:0.000000
3 53 3:@0.554700:0.661172:0.630769:0.661172:0.630769:0.645502:0.554700:0.645502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.096359:0.800312:0.165865:0.800312:0.165865:0.785200:0.096359:0.785200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Racionalizar :@0.096359:0.824099:0.187428:0.824099:0.187428:0.808429:0.096359:0.808429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.202242:0.816398:0.211235:0.816398:0.211235:0.800728:0.202242:0.800728:0.000000
6:@0.204380:0.838402:0.213373:0.838402:0.213373:0.822733:0.204380:0.822733:0.000000
3:@0.213865:0.830740:0.219077:0.830740:0.219077:0.821659:0.213865:0.821659:0.000000
5:@0.193606:0.830860:0.198818:0.830860:0.198818:0.821779:0.193606:0.821779:0.000000
Solución:@0.096359:0.858782:0.157020:0.858782:0.157020:0.843669:0.096359:0.843669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El factor racionalizante es  6  porque completa el exponente 5.:@0.096359:0.881311:0.571328:0.881311:0.571328:0.865642:0.096359:0.865642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.310083:0.873650:0.315294:0.873650:0.315294:0.864569:0.310083:0.864569:0.000000
5:@0.289823:0.873771:0.295035:0.873771:0.295035:0.864689:0.289823:0.864689:0.000000
8:@0.111175:0.909907:0.120167:0.909907:0.120167:0.894238:0.111175:0.894238:0.000000
6:@0.113312:0.931911:0.122305:0.931911:0.122305:0.916242:0.113312:0.916242:0.000000
3:@0.122796:0.924249:0.128008:0.924249:0.128008:0.915168:0.122796:0.915168:0.000000
5:@0.102537:0.924369:0.107748:0.924369:0.107748:0.915288:0.102537:0.915288:0.000000
 = :@0.136565:0.920124:0.155619:0.920124:0.155619:0.904454:0.136565:0.904454:0.000000:0.000000:0.000000
⋅:@0.193521:0.919544:0.198128:0.919544:0.198128:0.903971:0.193521:0.903971:0.000000
=:@0.236292:0.919544:0.246408:0.919544:0.246408:0.903971:0.236292:0.903971:0.000000
8:@0.170431:0.909904:0.179424:0.909904:0.179424:0.894235:0.170431:0.894235:0.000000
6:@0.172569:0.931908:0.181562:0.931908:0.181562:0.916239:0.172569:0.916239:0.000000
6:@0.213828:0.909904:0.222821:0.909904:0.222821:0.894235:0.213828:0.894235:0.000000
6:@0.213828:0.931908:0.222821:0.931908:0.222821:0.916239:0.213828:0.916239:0.000000
86:@0.251163:0.909904:0.282195:0.909904:0.282195:0.894235:0.251163:0.894235:0.000000:0.000000
6:@0.266716:0.929350:0.275708:0.929350:0.275708:0.913680:0.266716:0.913680:0.000000
3:@0.182056:0.924249:0.187268:0.924249:0.187268:0.915168:0.182056:0.915168:0.000000
5:@0.161796:0.924369:0.167008:0.924369:0.167008:0.915288:0.161796:0.915288:0.000000
2:@0.223311:0.902247:0.228523:0.902247:0.228523:0.893166:0.223311:0.893166:0.000000
5:@0.203052:0.902367:0.208264:0.902367:0.208264:0.893286:0.203052:0.893286:0.000000
2:@0.223311:0.924249:0.228523:0.924249:0.228523:0.915168:0.223311:0.915168:0.000000
5:@0.203052:0.924369:0.208264:0.924369:0.208264:0.915288:0.203052:0.915288:0.000000
2:@0.282679:0.902247:0.287891:0.902247:0.287891:0.893166:0.282679:0.893166:0.000000
5:@0.262420:0.902367:0.267632:0.902367:0.267632:0.893286:0.262420:0.893286:0.000000
Cuando las expresiones numéricas tienen en el denominador una o más raíces, :@0.096359:0.150505:0.698773:0.150505:0.698773:0.134835:0.096359:0.134835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estas pueden ser eliminadas a través de un proceso llamado racionalización. De :@0.096359:0.167102:0.698777:0.167102:0.698777:0.151432:0.096359:0.151432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acuerdo con la forma del denominador, analizaremos tres casos de racionalización.:@0.096359:0.183698:0.694703:0.183698:0.694703:0.168028:0.096359:0.168028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Caso 1:@0.110882:0.215711:0.161098:0.215711:0.161098:0.199087:0.110882:0.199087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El denominador contiene un solo término formado por una sola raíz cuadrada. En :@0.107528:0.239430:0.686215:0.239430:0.686215:0.223761:0.107528:0.223761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
este caso, basta multiplicar numerador y denominador por la misma raíz cuadrada.:@0.109205:0.256027:0.680444:0.256027:0.680444:0.240357:0.109205:0.240357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Caso 2:@0.110882:0.436679:0.161098:0.436679:0.161098:0.420055:0.110882:0.420055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si el denominador de la fracción contiene dos términos en uno de los cuales o en :@0.107528:0.460398:0.686175:0.460398:0.686175:0.444729:0.107528:0.444729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los dos hay una raíz cuadrada, se multiplica el numerador y el denominador por :@0.107528:0.476995:0.686267:0.476995:0.686267:0.461325:0.107528:0.461325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el conjugado del denominador. El conjugado de una suma es la resta y viceversa. :@0.107528:0.497118:0.686175:0.497118:0.686175:0.481448:0.107528:0.481448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El producto que resulta, :@0.107528:0.517241:0.285703:0.517241:0.285703:0.501571:0.107528:0.501571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.310269:0.516760:0.317732:0.516760:0.317732:0.500398:0.310269:0.500398:0.000000
y:@0.348008:0.516760:0.355490:0.516760:0.355490:0.500398:0.348008:0.500398:0.000000
x:@0.386544:0.516760:0.394007:0.516760:0.394007:0.500398:0.386544:0.500398:0.000000
y:@0.424708:0.516760:0.432189:0.516760:0.432189:0.500398:0.424708:0.500398:0.000000
(:@0.289852:0.523616:0.295989:0.523616:0.295989:0.496208:0.289852:0.496208:0.000000
)(:@0.358643:0.523616:0.372242:0.523616:0.372242:0.496208:0.358643:0.496208:0.000000:0.000000
):@0.435320:0.523616:0.441457:0.523616:0.441457:0.496208:0.435320:0.496208:0.000000
+:@0.322101:0.517437:0.332218:0.517437:0.332218:0.501864:0.322101:0.501864:0.000000
−:@0.398797:0.517437:0.408913:0.517437:0.408913:0.501864:0.398797:0.501864:0.000000
, es igual a :@0.444313:0.517234:0.523773:0.517234:0.523773:0.501564:0.444313:0.501564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ( ):@0.530762:0.523174:0.628557:0.523174:0.628557:0.494987:0.530762:0.494987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.578141:0.517506:0.588258:0.517506:0.588258:0.501933:0.578141:0.501933:0.000000
x:@0.551599:0.516829:0.559062:0.516829:0.559062:0.500467:0.551599:0.500467:0.000000
y:@0.611433:0.516829:0.618915:0.516829:0.618915:0.500467:0.611433:0.500467:0.000000
2:@0.568612:0.504265:0.573824:0.504265:0.573824:0.494767:0.568612:0.494767:0.000000
2:@0.628450:0.504265:0.633662:0.504265:0.633662:0.494767:0.628450:0.494767:0.000000
. :@0.636684:0.517234:0.643926:0.517234:0.643926:0.501564:0.636684:0.501564:0.000000:0.000000
Caso 3:@0.110882:0.703980:0.161098:0.703980:0.161098:0.687356:0.110882:0.687356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si el denominador solo tiene un término con una raíz de índice cualquiera,  , :@0.107528:0.727699:0.686175:0.727699:0.686175:0.712030:0.107528:0.712030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.669424:0.727699:0.678933:0.727699:0.678933:0.711338:0.669424:0.711338:0.000000
se multiplica numerador y denominador por otra raíz de índice   que complete :@0.107528:0.744296:0.686138:0.744296:0.686138:0.728626:0.107528:0.728626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.566303:0.744296:0.575812:0.744296:0.575812:0.727935:0.566303:0.727935:0.000000
una potencia de exponente  .:@0.107528:0.760892:0.328214:0.760892:0.328214:0.745222:0.107528:0.745222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.315499:0.760892:0.325008:0.760892:0.325008:0.744531:0.315499:0.744531:0.000000
El conjugado de :@0.733044:0.182019:0.845235:0.182019:0.845235:0.167774:0.733044:0.167774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.772358:0.201871:0.782475:0.201871:0.782475:0.186298:0.772358:0.186298:0.000000
+:@0.862672:0.201871:0.872789:0.201871:0.872789:0.186298:0.862672:0.186298:0.000000
ax besa xb:@0.736027:0.201193:0.884814:0.201193:0.884814:0.184832:0.736027:0.184832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y su producto es :@0.733044:0.222253:0.847176:0.222253:0.847176:0.208008:0.733044:0.208008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.766549:0.240407:0.776665:0.240407:0.776665:0.224834:0.766549:0.224834:0.000000
ax b:@0.738391:0.239730:0.788699:0.239730:0.788699:0.224336:0.738391:0.224336:0.000000:0.000000:0.000000:0.000000
2:@0.748225:0.232069:0.753437:0.232069:0.753437:0.222987:0.748225:0.222987:0.000000
2:@0.789267:0.232069:0.794478:0.232069:0.794478:0.222987:0.789267:0.222987:0.000000
.:@0.796793:0.239598:0.799708:0.239598:0.799708:0.225352:0.796793:0.225352:0.000000
El conjugado de :@0.733051:0.266843:0.845241:0.266843:0.845241:0.252598:0.733051:0.252598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.763709:0.284151:0.771600:0.284151:0.771600:0.272004:0.763709:0.272004:0.000000
+:@0.853055:0.284151:0.860946:0.284151:0.860946:0.272004:0.853055:0.272004:0.000000
ax by es ax by:@0.735371:0.283622:0.887276:0.283622:0.887276:0.270860:0.735371:0.270860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.892460:0.289952:0.896128:0.289952:0.896128:0.275707:0.892460:0.275707:0.000000
y su producto es: :@0.733044:0.305040:0.850091:0.305040:0.850091:0.290795:0.733044:0.290795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.763580:0.323194:0.773697:0.323194:0.773697:0.307621:0.763580:0.307621:0.000000
ax by:@0.735423:0.322517:0.800749:0.322517:0.800749:0.307123:0.735423:0.307123:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.745258:0.314854:0.750470:0.314854:0.750470:0.305773:0.745258:0.305773:0.000000
2:@0.786300:0.314854:0.791512:0.314854:0.791512:0.305773:0.786300:0.305773:0.000000
.:@0.803442:0.321127:0.806357:0.321127:0.806357:0.306882:0.803442:0.306882:0.000000
Recuerda que...:@0.763096:0.156994:0.885177:0.156994:0.885177:0.140094:0.763096:0.140094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa:@0.733044:0.743665:0.782581:0.743665:0.782581:0.728552:0.733044:0.728552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 al siguiente :@0.782313:0.743665:0.862825:0.743665:0.862825:0.729419:0.782313:0.729419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace web y:@0.733044:0.758752:0.818012:0.758752:0.818012:0.744507:0.733044:0.744507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 realiza:@0.817744:0.758752:0.864316:0.758752:0.864316:0.743639:0.817744:0.743639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.864316:0.758752:0.867984:0.758752:0.867984:0.744507:0.864316:0.744507:0.000000
ejercicios interactivos de :@0.733044:0.773840:0.893465:0.773840:0.893465:0.759595:0.733044:0.759595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racionalización.:@0.733044:0.788927:0.831230:0.788927:0.831230:0.774682:0.733044:0.774682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/9m07:@0.733044:0.811144:0.820006:0.811144:0.820006:0.796019:0.733044:0.796019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.747853:0.718033:0.898755:0.718033:0.898755:0.701133:0.747853:0.701133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
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®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