42:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000 Números reales:@0.073089:0.043661:0.211864:0.043661:0.211864:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.078581:0.182592:0.083818:0.182592:0.083818:0.173011:0.078581:0.173011:0.000000 3:@0.083771:0.188655:0.101876:0.188655:0.101876:0.172222:0.083771:0.172222:0.000000:0.000000:0.000000 2 :@0.101796:0.182592:0.109340:0.182592:0.109340:0.173011:0.101796:0.173011:0.000000:0.000000 y :@0.109289:0.188340:0.120249:0.188340:0.120249:0.173400:0.109289:0.173400:0.000000:0.000000 8:@0.120169:0.182592:0.125406:0.182592:0.125406:0.173011:0.120169:0.173011:0.000000 3:@0.125359:0.188655:0.143465:0.188655:0.143465:0.172222:0.125359:0.172222:0.000000:0.000000:0.000000 4 :@0.143383:0.182592:0.150927:0.182592:0.150927:0.173011:0.143383:0.173011:0.000000:0.000000 son :@0.150877:0.188340:0.178521:0.188340:0.178521:0.173400:0.150877:0.173400:0.000000:0.000000:0.000000:0.000000 radicales semejantes:@0.078586:0.203469:0.221331:0.203469:0.221331:0.188315:0.078586:0.188315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ; al :@0.221192:0.203469:0.242378:0.203469:0.242378:0.188529:0.221192:0.188529:0.000000:0.000000:0.000000:0.000000:0.000000 simplificarlos se obtiene el :@0.078586:0.218598:0.255892:0.218598:0.255892:0.203658:0.078586:0.203658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mismo índice y la misma :@0.078586:0.233727:0.245390:0.233727:0.245390:0.218787:0.078586:0.218787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cantidad subradical.:@0.078586:0.248856:0.210309:0.248856:0.210309:0.233916:0.078586:0.233916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.078581:0.259749:0.083818:0.259749:0.083818:0.250168:0.078581:0.250168:0.000000 2; 13 y 3 :@0.083771:0.265813:0.193391:0.265813:0.193391:0.249379:0.083771:0.249379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.104918:0.259749:0.107268:0.259749:0.107268:0.250168:0.104918:0.250168:0.000000 y :@0.107221:0.265498:0.118182:0.265498:0.118182:0.250558:0.107221:0.250558:0.000000:0.000000 8:@0.118102:0.259749:0.123338:0.259749:0.123338:0.250168:0.118102:0.250168:0.000000 5:@0.166138:0.259749:0.171375:0.259749:0.171375:0.250168:0.166138:0.250168:0.000000 son :@0.193302:0.265498:0.220946:0.265498:0.220946:0.250558:0.193302:0.250558:0.000000:0.000000:0.000000:0.000000 radicales homogéneos:@0.078575:0.280627:0.235016:0.280627:0.235016:0.265473:0.078575:0.265473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.234936:0.280627:0.238601:0.280627:0.238601:0.265687:0.234936:0.265687:0.000000 porque tienen el mismo :@0.078575:0.295756:0.241340:0.295756:0.241340:0.280816:0.078575:0.280816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 índice, pero las cantidades :@0.078575:0.310885:0.256124:0.310885:0.256124:0.295945:0.078575:0.295945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 subradicales diferentes.:@0.078575:0.326014:0.231981:0.326014:0.231981:0.311074:0.078575:0.311074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Competencia :@0.078581:0.145303:0.187141:0.145303:0.187141:0.128356:0.078581:0.128356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.078581:0.161945:0.176057:0.161945:0.176057:0.144998:0.078581:0.144998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En la radicación de números reales se cumple::@0.293660:0.136836:0.626982:0.136836:0.626982:0.120402:0.293660:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.325203:0.174921:0.340647:0.174921:0.340647:0.158487:0.325203:0.158487:0.000000:0.000000:0.000000 x:@0.355405:0.174921:0.383712:0.174921:0.383712:0.158515:0.355405:0.158515:0.000000:0.000000:0.000000 m:@0.358653:0.168857:0.367174:0.168857:0.367174:0.159292:0.358653:0.159292:0.000000 y ; :@0.367135:0.174921:0.518177:0.174921:0.518177:0.158487:0.367135:0.158487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ?:@0.387596:0.174782:0.393725:0.174782:0.393725:0.160734:0.387596:0.160734:0.000000 5:@0.409556:0.174366:0.424889:0.174366:0.424889:0.160650:0.409556:0.160650:0.000000 m:@0.428746:0.168857:0.437267:0.168857:0.437267:0.159292:0.428746:0.159292:0.000000 x:@0.446352:0.174921:0.453807:0.174921:0.453807:0.158515:0.446352:0.158515:0.000000 ?:@0.457691:0.174782:0.463820:0.174782:0.463820:0.160734:0.457691:0.160734:0.000000 m:@0.467679:0.168857:0.476200:0.168857:0.476200:0.159292:0.467679:0.159292:0.000000 y:@0.485283:0.174921:0.492756:0.174921:0.492756:0.158515:0.485283:0.158515:0.000000 x:@0.532466:0.174921:0.539921:0.174921:0.539921:0.158515:0.532466:0.158515:0.000000 :@0.539847:0.174921:0.570278:0.174921:0.570278:0.158487:0.539847:0.158487:0.000000:0.000000:0.000000:0.000000:0.000000 `:@0.543805:0.174399:0.554956:0.174399:0.554956:0.161559:0.543805:0.161559:0.000000 y:@0.558847:0.174921:0.566320:0.174921:0.566320:0.158515:0.558847:0.158515:0.000000 [:@0.570204:0.174782:0.585537:0.174782:0.585537:0.160734:0.570204:0.160734:0.000000 :@0.596541:0.174921:0.600573:0.174921:0.600573:0.158487:0.596541:0.158487:0.000000 `:@0.614868:0.174399:0.626020:0.174399:0.626020:0.161559:0.614868:0.161559:0.000000 :@0.625953:0.174921:0.629984:0.174921:0.629984:0.158487:0.625953:0.158487:0.000000 m:@0.644278:0.174921:0.658894:0.174921:0.658894:0.158515:0.644278:0.158515:0.000000 [:@0.658820:0.174782:0.674153:0.174782:0.674153:0.160734:0.658820:0.160734:0.000000 :@0.685251:0.174921:0.689282:0.174921:0.689282:0.158487:0.685251:0.158487:0.000000 b. :@0.325203:0.217434:0.342101:0.217434:0.342101:0.201001:0.325203:0.201001:0.000000:0.000000:0.000000 :@0.355405:0.217434:0.370448:0.217434:0.370448:0.201028:0.355405:0.201028:0.000000:0.000000:0.000000 m:@0.358653:0.211371:0.367174:0.211371:0.367174:0.201806:0.358653:0.201806:0.000000 x:@0.382716:0.211325:0.390171:0.211325:0.390171:0.194919:0.382716:0.194919:0.000000 y:@0.382698:0.225304:0.390171:0.225304:0.390171:0.208898:0.382698:0.208898:0.000000 :@0.396522:0.217441:0.419751:0.217441:0.419751:0.201007:0.396522:0.201007:0.000000:0.000000:0.000000 5:@0.400479:0.216886:0.415812:0.216886:0.415812:0.203170:0.400479:0.203170:0.000000 m:@0.428068:0.205261:0.436589:0.205261:0.436589:0.195696:0.428068:0.195696:0.000000 x:@0.436551:0.211325:0.456384:0.211325:0.456384:0.194919:0.436551:0.194919:0.000000:0.000000:0.000000:0.000000 m:@0.429683:0.219236:0.438204:0.219236:0.438204:0.209672:0.429683:0.209672:0.000000 y:@0.438165:0.225300:0.454769:0.225300:0.454769:0.208894:0.438165:0.208894:0.000000:0.000000:0.000000 ; :@0.464700:0.217434:0.509586:0.217434:0.509586:0.201001:0.464700:0.201001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.471769:0.217434:0.479224:0.217434:0.479224:0.201028:0.471769:0.201028:0.000000 `:@0.483113:0.216912:0.494264:0.216912:0.494264:0.204073:0.483113:0.204073:0.000000 y:@0.498155:0.217434:0.505628:0.217434:0.505628:0.201028:0.498155:0.201028:0.000000 [:@0.509512:0.217296:0.524845:0.217296:0.524845:0.203247:0.509512:0.203247:0.000000 :@0.535848:0.217434:0.539879:0.217434:0.539879:0.201001:0.535848:0.201001:0.000000 `:@0.554175:0.216912:0.565326:0.216912:0.565326:0.204073:0.554175:0.204073:0.000000 :@0.565259:0.217434:0.569290:0.217434:0.569290:0.201001:0.565259:0.201001:0.000000 m:@0.583586:0.217434:0.598201:0.217434:0.598201:0.201028:0.583586:0.201028:0.000000 [:@0.598128:0.217296:0.613461:0.217296:0.613461:0.203247:0.598128:0.203247:0.000000 :@0.624559:0.217434:0.628590:0.217434:0.628590:0.201001:0.624559:0.201001:0.000000 c. :@0.325203:0.258178:0.340279:0.258178:0.340279:0.241744:0.325203:0.241744:0.000000:0.000000:0.000000 x:@0.355405:0.258178:0.383712:0.258178:0.383712:0.241772:0.355405:0.241772:0.000000:0.000000:0.000000 m:@0.358653:0.252114:0.367174:0.252114:0.367174:0.242549:0.358653:0.242549:0.000000 ; :@0.367135:0.258178:0.447560:0.258178:0.447560:0.241744:0.367135:0.241744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.383646:0.252114:0.389184:0.252114:0.389184:0.242549:0.383646:0.242549:0.000000 5:@0.393103:0.257623:0.408436:0.257623:0.408436:0.243908:0.393103:0.243908:0.000000 x x:@0.412302:0.258178:0.443602:0.258178:0.443602:0.241772:0.412302:0.241772:0.000000:0.000000:0.000000 n:@0.422907:0.246749:0.425928:0.246749:0.425928:0.241532:0.422907:0.241532:0.000000 m:@0.422094:0.252213:0.426742:0.252213:0.426742:0.246996:0.422094:0.246996:0.000000 [:@0.447486:0.258039:0.462819:0.258039:0.462819:0.243991:0.447486:0.243991:0.000000 :@0.473834:0.258178:0.477865:0.258178:0.477865:0.241744:0.473834:0.241744:0.000000 m n:@0.492161:0.258178:0.534522:0.258178:0.534522:0.241772:0.492161:0.241772:0.000000:0.000000:0.000000 :@0.506702:0.258178:0.510734:0.258178:0.510734:0.241744:0.506702:0.241744:0.000000 ` :@0.510660:0.257656:0.525091:0.257656:0.525091:0.244817:0.510660:0.244817:0.000000:0.000000 [:@0.534449:0.258039:0.549782:0.258039:0.549782:0.243991:0.534449:0.243991:0.000000 ; Si :@0.560800:0.258178:0.657489:0.258178:0.657489:0.241744:0.560800:0.241744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.584050:0.258178:0.598665:0.258178:0.598665:0.241772:0.584050:0.241772:0.000000 5:@0.602549:0.257623:0.617882:0.257623:0.617882:0.243908:0.602549:0.243908:0.000000 n:@0.621748:0.258178:0.631246:0.258178:0.631246:0.241772:0.621748:0.241772:0.000000 m:@0.671777:0.252114:0.680298:0.252114:0.680298:0.242549:0.671777:0.242549:0.000000 x:@0.680259:0.258178:0.696851:0.258178:0.696851:0.241772:0.680259:0.241772:0.000000:0.000000:0.000000 n:@0.696786:0.252114:0.702323:0.252114:0.702323:0.242549:0.696786:0.242549:0.000000 :@0.702284:0.258178:0.725514:0.258178:0.725514:0.241744:0.702284:0.241744:0.000000:0.000000:0.000000 5:@0.706242:0.257623:0.721575:0.257623:0.721575:0.243908:0.706242:0.243908:0.000000 x:@0.725441:0.258178:0.732896:0.258178:0.732896:0.241772:0.725441:0.241772:0.000000 d. Si 1 :@0.325203:0.298921:0.434712:0.298921:0.434712:0.282488:0.325203:0.282488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.371585:0.298921:0.381083:0.298921:0.381083:0.282515:0.371585:0.282515:0.000000 5:@0.384967:0.298367:0.400300:0.298367:0.400300:0.284651:0.384967:0.284651:0.000000 m:@0.434631:0.292858:0.443152:0.292858:0.443152:0.283293:0.434631:0.283293:0.000000 x:@0.443114:0.298921:0.459705:0.298921:0.459705:0.282515:0.443114:0.282515:0.000000:0.000000:0.000000 n:@0.459640:0.292858:0.465177:0.292858:0.465177:0.283293:0.459640:0.283293:0.000000 :@0.465139:0.298921:0.488369:0.298921:0.488369:0.282488:0.465139:0.282488:0.000000:0.000000:0.000000 5:@0.469096:0.298367:0.484430:0.298367:0.484430:0.284651:0.469096:0.284651:0.000000 x:@0.488295:0.298921:0.495750:0.298921:0.495750:0.282515:0.488295:0.282515:0.000000 1:@0.498983:0.287492:0.501839:0.287492:0.501839:0.282266:0.498983:0.282266:0.000000 m:@0.498087:0.292956:0.502735:0.292956:0.502735:0.287739:0.498087:0.287739:0.000000 e. :@0.325203:0.337006:0.363393:0.337006:0.363393:0.320572:0.325203:0.320572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n m:@0.368479:0.330942:0.391635:0.330942:0.391635:0.321377:0.368479:0.321377:0.000000:0.000000:0.000000 x :@0.373978:0.337006:0.429929:0.337006:0.429929:0.320600:0.373978:0.320600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.411375:0.336451:0.426708:0.336451:0.426708:0.322736:0.411375:0.322736:0.000000 n m:@0.429859:0.330942:0.452760:0.330942:0.452760:0.321377:0.429859:0.321377:0.000000:0.000000:0.000000 3:@0.435353:0.330619:0.444293:0.330619:0.444293:0.322623:0.435353:0.322623:0.000000 ; :@0.452726:0.337006:0.487709:0.337006:0.487709:0.320572:0.452726:0.320572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x x:@0.461847:0.337006:0.483752:0.337006:0.483752:0.320600:0.461847:0.320600:0.000000:0.000000:0.000000 [:@0.487636:0.336867:0.502969:0.336867:0.502969:0.322819:0.487636:0.322819:0.000000 ; :@0.513992:0.337006:0.521152:0.337006:0.521152:0.320572:0.513992:0.320572:0.000000:0.000000 m n:@0.534628:0.337006:0.576990:0.337006:0.576990:0.320600:0.534628:0.320600:0.000000:0.000000:0.000000 :@0.549170:0.337006:0.553201:0.337006:0.553201:0.320572:0.549170:0.320572:0.000000 ` :@0.553127:0.336484:0.567558:0.336484:0.567558:0.323645:0.553127:0.323645:0.000000:0.000000 [:@0.576916:0.336867:0.592249:0.336867:0.592249:0.322819:0.576916:0.322819:0.000000 Ejemplo 13:@0.293660:0.375091:0.378812:0.375091:0.378812:0.358421:0.293660:0.358421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Aplicar las propiedades de la radicación.:@0.293660:0.413175:0.583291:0.413175:0.583291:0.396741:0.293660:0.396741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. 4 5:@0.325203:0.451260:0.436005:0.451260:0.436005:0.434826:0.325203:0.434826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p 3:@0.377388:0.450705:0.414047:0.450705:0.414047:0.436989:0.377388:0.436989:0.000000:0.000000:0.000000 2:@0.389567:0.445196:0.394804:0.445196:0.394804:0.435615:0.389567:0.435615:0.000000 5:@0.435931:0.450705:0.451265:0.450705:0.451265:0.436989:0.435931:0.436989:0.000000 b. :@0.325203:0.493773:0.370880:0.493773:0.370880:0.477339:0.325203:0.477339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 :@0.359356:0.487710:0.366900:0.487710:0.366900:0.478128:0.359356:0.478128:0.000000:0.000000 64:@0.381295:0.487664:0.399187:0.487664:0.399187:0.471230:0.381295:0.471230:0.000000:0.000000 e:@0.399095:0.487664:0.406881:0.487664:0.406881:0.471258:0.399095:0.471258:0.000000 42:@0.406820:0.481600:0.417250:0.481600:0.417250:0.472019:0.406820:0.472019:0.000000:0.000000 243:@0.385877:0.501639:0.412678:0.501639:0.412678:0.485205:0.385877:0.485205:0.000000:0.000000:0.000000 5:@0.422489:0.493221:0.437822:0.493221:0.437822:0.479505:0.422489:0.479505:0.000000 Solución:@0.293657:0.531858:0.359790:0.531858:0.359790:0.515188:0.293657:0.515188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. 4 5 2 :@0.325203:0.569942:0.478412:0.569942:0.478412:0.553509:0.325203:0.553509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p 3:@0.373437:0.569388:0.410096:0.569388:0.410096:0.555672:0.373437:0.555672:0.000000:0.000000:0.000000 2:@0.385616:0.563879:0.390853:0.563879:0.390853:0.554298:0.385616:0.554298:0.000000 5:@0.431969:0.569388:0.447302:0.569388:0.447302:0.555672:0.431969:0.555672:0.000000 2:@0.469190:0.563879:0.474427:0.563879:0.474427:0.554298:0.469190:0.554298:0.000000 3 p 3:@0.478338:0.569388:0.534748:0.569388:0.534748:0.555672:0.478338:0.555672:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.510267:0.563879:0.515504:0.563879:0.515504:0.554298:0.510267:0.554298:0.000000 5 :@0.515457:0.569942:0.560662:0.569942:0.560662:0.553509:0.515457:0.553509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Aplicamos la propiedad distributiva.:@0.594863:0.569942:0.855282:0.569942:0.855282:0.553509:0.594863:0.553509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 p:@0.355324:0.607472:0.395692:0.607472:0.395692:0.593757:0.355324:0.593757:0.000000:0.000000:0.000000 2 5 :@0.370566:0.608027:0.426822:0.608027:0.426822:0.591593:0.370566:0.591593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.395605:0.601963:0.400841:0.601963:0.400841:0.592382:0.395605:0.592382:0.000000 Aplicamos las propiedades raíz de una potencia y raíz de raíz.:@0.474386:0.608027:0.915674:0.608027:0.915674:0.591593:0.474386:0.591593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. :@0.325203:0.650541:0.372535:0.650541:0.372535:0.634107:0.325203:0.634107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.359356:0.644477:0.364592:0.644477:0.364592:0.634896:0.359356:0.634896:0.000000 64:@0.382942:0.644431:0.400834:0.644431:0.400834:0.627997:0.382942:0.627997:0.000000:0.000000 e:@0.400742:0.644431:0.408528:0.644431:0.408528:0.628025:0.400742:0.628025:0.000000 15:@0.408466:0.638367:0.418897:0.638367:0.418897:0.628786:0.408466:0.628786:0.000000:0.000000 243:@0.387524:0.658406:0.414325:0.658406:0.414325:0.641973:0.387524:0.641973:0.000000:0.000000:0.000000 :@0.424136:0.650543:0.456499:0.650541:0.456499:0.634107:0.424136:0.634109:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.428093:0.649988:0.443427:0.649988:0.443427:0.636273:0.428093:0.636273:0.000000 5:@0.447277:0.644477:0.452514:0.644477:0.452514:0.634896:0.447277:0.634896:0.000000 2 2 :@0.463962:0.644431:0.510402:0.644431:0.510402:0.627997:0.463962:0.627997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.472818:0.638367:0.478055:0.638367:0.478055:0.628786:0.472818:0.628786:0.000000 3 3:@0.480157:0.643876:0.523885:0.643876:0.523885:0.630161:0.480157:0.630161:0.000000:0.000000:0.000000 e:@0.523737:0.644431:0.531524:0.644431:0.531524:0.628025:0.523737:0.628025:0.000000 15:@0.531423:0.638367:0.541822:0.638367:0.541822:0.628786:0.531423:0.628786:0.000000:0.000000 3:@0.495824:0.658406:0.504806:0.658406:0.504806:0.641973:0.495824:0.641973:0.000000 5:@0.504726:0.652343:0.509963:0.652343:0.509963:0.642762:0.504726:0.642762:0.000000 :@0.544116:0.650541:0.548147:0.650541:0.548147:0.634107:0.544116:0.634107:0.000000 Descomponemos en factores primos.:@0.594865:0.650541:0.867010:0.650541:0.867010:0.634107:0.594865:0.634107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.355324:0.692500:0.370658:0.692500:0.370658:0.678784:0.355324:0.678784:0.000000 :@0.370566:0.693054:0.374597:0.693054:0.374597:0.676620:0.370566:0.676620:0.000000 5:@0.387388:0.680881:0.392625:0.680881:0.392625:0.671300:0.387388:0.671300:0.000000 2 2 :@0.392579:0.686945:0.440185:0.686945:0.440185:0.670511:0.392579:0.670511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 5:@0.410603:0.680881:0.423341:0.680881:0.423341:0.671300:0.410603:0.671300:0.000000:0.000000:0.000000 3 :@0.440093:0.686390:0.459936:0.686390:0.459936:0.672674:0.440093:0.672674:0.000000:0.000000 5:@0.459841:0.680881:0.465078:0.680881:0.465078:0.671300:0.459841:0.671300:0.000000 :@0.465030:0.686945:0.469061:0.686945:0.469061:0.670511:0.465030:0.670511:0.000000 e:@0.468988:0.686945:0.476774:0.686945:0.476774:0.670539:0.468988:0.670539:0.000000 15:@0.476702:0.680881:0.487133:0.680881:0.487133:0.671300:0.476702:0.671300:0.000000:0.000000 5:@0.423034:0.694852:0.428271:0.694852:0.428271:0.685271:0.423034:0.685271:0.000000 3:@0.428222:0.700920:0.446335:0.700920:0.446335:0.684486:0.428222:0.684486:0.000000:0.000000:0.000000 5:@0.446248:0.694856:0.451485:0.694856:0.451485:0.685275:0.446248:0.685275:0.000000 :@0.499920:0.693054:0.503951:0.693054:0.503951:0.676620:0.499920:0.676620:0.000000 Aplicamos la propiedad distributiva.:@0.534636:0.693054:0.795055:0.693054:0.795055:0.676620:0.534636:0.676620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.355324:0.735013:0.370658:0.735013:0.370658:0.721297:0.355324:0.721297:0.000000 :@0.370566:0.735568:0.374597:0.735568:0.374597:0.719134:0.370566:0.719134:0.000000 2 2:@0.379344:0.729458:0.435886:0.729458:0.435886:0.713024:0.379344:0.713024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e:@0.388253:0.729458:0.396040:0.729458:0.396040:0.713052:0.388253:0.713052:0.000000 3 5:@0.395968:0.723394:0.417820:0.723394:0.417820:0.713813:0.395968:0.713813:0.000000:0.000000:0.000000:0.000000 3:@0.403120:0.743434:0.412102:0.743434:0.412102:0.727000:0.403120:0.727000:0.000000 :@0.440627:0.735568:0.444658:0.735568:0.444658:0.719134:0.440627:0.719134:0.000000 Aplicamos la propiedad raíz de una potencia.:@0.474386:0.735568:0.801070:0.735568:0.801070:0.719134:0.474386:0.719134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 14:@0.293660:0.773652:0.378812:0.773652:0.378812:0.756983:0.293660:0.756983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Expresa en forma de potencia 2:@0.293660:0.811734:0.531425:0.811737:0.531425:0.795303:0.293660:0.795301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7:@0.513295:0.805673:0.518532:0.805673:0.518532:0.796092:0.513295:0.796092:0.000000 w 5:@0.531333:0.811182:0.565319:0.811182:0.565319:0.797467:0.531333:0.797467:0.000000:0.000000:0.000000 3 :@0.542493:0.805673:0.550037:0.805673:0.550037:0.796092:0.542493:0.796092:0.000000:0.000000 Solución: :@0.293665:0.849819:0.367364:0.849819:0.367364:0.833149:0.293665:0.833149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7:@0.367244:0.843758:0.372481:0.843758:0.372481:0.834177:0.367244:0.834177:0.000000 2 2 :@0.372435:0.849822:0.485526:0.849822:0.485526:0.833388:0.372435:0.833388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 w 5:@0.390467:0.849267:0.426095:0.849267:0.426095:0.835551:0.390467:0.835551:0.000000:0.000000:0.000000 3:@0.401614:0.843758:0.406851:0.843758:0.406851:0.834177:0.401614:0.834177:0.000000 7:@0.429947:0.843758:0.435184:0.843758:0.435184:0.834177:0.429947:0.834177:0.000000 3 w:@0.457108:0.849267:0.501865:0.849267:0.501865:0.835551:0.457108:0.835551:0.000000:0.000000:0.000000 7:@0.476304:0.843758:0.481540:0.843758:0.481540:0.834177:0.476304:0.834177:0.000000 3:@0.501773:0.843758:0.507009:0.843758:0.507009:0.834177:0.501773:0.834177:0.000000 :@0.506962:0.849822:0.510993:0.849822:0.510993:0.833388:0.506962:0.833388:0.000000 Aplicamos primero la propiedad distributiva.:@0.534628:0.849822:0.857064:0.849822:0.857064:0.833388:0.534628:0.833388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.293660:0.887697:0.308993:0.887697:0.308993:0.873981:0.293660:0.873981:0.000000 2 :@0.308901:0.888252:0.373225:0.888252:0.373225:0.871818:0.308901:0.871818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.323413:0.878216:0.326745:0.878216:0.326745:0.872119:0.323413:0.872119:0.000000 7:@0.323413:0.882631:0.326745:0.882631:0.326745:0.876534:0.323413:0.876534:0.000000 3 w:@0.332282:0.887697:0.362727:0.887697:0.362727:0.873981:0.332282:0.873981:0.000000:0.000000:0.000000 3:@0.364282:0.878216:0.367615:0.878216:0.367615:0.872119:0.364282:0.872119:0.000000 7:@0.364282:0.882631:0.367615:0.882631:0.367615:0.876534:0.364282:0.876534:0.000000 Aplicamos la propiedad raíz de una potencia.:@0.414144:0.888252:0.740829:0.888252:0.740829:0.871818:0.414144:0.871818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 DBA 3 (Ev. 1) Reconoce el uso del signo igual como relación de equivalencia de expresiones algebraicas en los números reales.:@0.257088:0.971366:0.921016:0.971366:0.921016:0.959414:0.257088:0.959414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000