﻿57:@0.921538:0.966074:0.940353:0.966074:0.940353:0.949450:0.921538:0.949450:0.000000:0.000000
En la radicación de números reales se cumple::@0.096367:0.133766:0.433313:0.133766:0.433313:0.118096:0.096367:0.118096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.096367:0.171066:0.115605:0.171066:0.115605:0.153930:0.096367:0.153930:0.000000:0.000000:0.000000
⋅=:@0.152022:0.171741:0.182925:0.171741:0.182925:0.156168:0.152022:0.156168:0.000000:0.000000
⋅:@0.212225:0.171741:0.216832:0.171741:0.216832:0.156168:0.212225:0.156168:0.000000
∧ ∈:@0.279652:0.171741:0.319437:0.171741:0.319437:0.156168:0.279652:0.156168:0.000000:0.000000:0.000000
∧:@0.349493:0.171741:0.360605:0.171741:0.360605:0.156168:0.349493:0.156168:0.000000
∈:@0.387232:0.171741:0.400371:0.171741:0.400371:0.156168:0.387232:0.156168:0.000000
xy:@0.141445:0.171063:0.166930:0.171063:0.166930:0.154702:0.141445:0.154702:0.000000:0.000000
x:@0.200192:0.171063:0.207655:0.171063:0.207655:0.154702:0.200192:0.154702:0.000000
y:@0.232182:0.171063:0.239664:0.171063:0.239664:0.154702:0.232182:0.154702:0.000000
x:@0.268301:0.171063:0.275764:0.171063:0.275764:0.154702:0.268301:0.154702:0.000000
y:@0.294799:0.171063:0.302281:0.171063:0.302281:0.154702:0.294799:0.154702:0.000000
m:@0.369966:0.171063:0.384597:0.171063:0.384597:0.154702:0.369966:0.154702:0.000000
;:@0.246574:0.171063:0.249781:0.171063:0.249781:0.155394:0.246574:0.155394:0.000000
m:@0.127783:0.165956:0.136263:0.165956:0.136263:0.156474:0.127783:0.156474:0.000000
m:@0.186521:0.164225:0.195001:0.164225:0.195001:0.154742:0.186521:0.154742:0.000000
m:@0.218507:0.165956:0.226986:0.165956:0.226986:0.156474:0.218507:0.156474:0.000000
:@0.319337:0.171935:0.332641:0.171935:0.332641:0.155186:0.319337:0.155186:0.000000
:@0.400271:0.171935:0.413576:0.171935:0.413576:0.155186:0.400271:0.155186:0.000000
b) :@0.096359:0.223454:0.116740:0.223454:0.116740:0.206318:0.096359:0.206318:0.000000:0.000000:0.000000
=:@0.157780:0.222874:0.167897:0.222874:0.167897:0.207301:0.157780:0.207301:0.000000
∧ ∈:@0.222479:0.222874:0.262265:0.222874:0.262265:0.207301:0.222479:0.207301:0.000000:0.000000:0.000000
∧:@0.292320:0.222874:0.303432:0.222874:0.303432:0.207301:0.292320:0.207301:0.000000
∈:@0.330060:0.222874:0.343199:0.222874:0.343199:0.207301:0.330060:0.207301:0.000000
x:@0.142964:0.213234:0.150427:0.213234:0.150427:0.196873:0.142964:0.196873:0.000000
y:@0.142964:0.232680:0.150446:0.232680:0.150446:0.216319:0.142964:0.216319:0.000000
x:@0.186619:0.213234:0.194082:0.213234:0.194082:0.196873:0.186619:0.196873:0.000000
y:@0.186619:0.233385:0.194101:0.233385:0.194101:0.217024:0.186619:0.217024:0.000000
x:@0.211128:0.222183:0.218591:0.222183:0.218591:0.205821:0.211128:0.205821:0.000000
y:@0.237627:0.222183:0.245109:0.222183:0.245109:0.205821:0.237627:0.205821:0.000000
m:@0.312793:0.222183:0.327425:0.222183:0.327425:0.205821:0.312793:0.205821:0.000000
;:@0.199869:0.222183:0.203075:0.222183:0.203075:0.206513:0.199869:0.206513:0.000000
m:@0.127783:0.219918:0.136263:0.219918:0.136263:0.210436:0.127783:0.210436:0.000000
m:@0.172958:0.206404:0.181438:0.206404:0.181438:0.196922:0.172958:0.196922:0.000000
m:@0.172958:0.228286:0.181438:0.228286:0.181438:0.218804:0.172958:0.218804:0.000000
:@0.262169:0.223068:0.275474:0.223068:0.275474:0.206319:0.262169:0.206319:0.000000
:@0.343103:0.223068:0.356408:0.223068:0.356408:0.206319:0.343103:0.206319:0.000000
c) :@0.096359:0.280875:0.114179:0.280875:0.114179:0.263739:0.096359:0.263739:0.000000:0.000000:0.000000
=:@0.162660:0.282577:0.112518:0.282577:0.112518:0.267004:0.162660:0.267004:0.000000
∈:@0.222918:0.282577:0.172777:0.282577:0.172777:0.267004:0.222918:0.267004:0.000000
∧∈:@0.284006:0.282577:0.323054:0.282577:0.323054:0.267004:0.284006:0.267004:0.000000:0.000000
=:@0.462054:0.282577:0.472170:0.282577:0.472170:0.267004:0.462054:0.267004:0.000000
x:@0.141616:0.281899:0.149079:0.281899:0.149079:0.266506:0.141616:0.266506:0.000000
x:@0.177531:0.281899:0.184994:0.281899:0.184994:0.266506:0.177531:0.266506:0.000000
x:@0.211401:0.281899:0.218864:0.281899:0.218864:0.266506:0.211401:0.266506:0.000000
m n:@0.266887:0.281899:0.307556:0.281899:0.307556:0.266506:0.266887:0.266506:0.000000:0.000000:0.000000
Si m = n:@0.349184:0.281899:0.406126:0.281899:0.406126:0.266506:0.349184:0.266506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.444013:0.281899:0.451476:0.281899:0.451476:0.266506:0.444013:0.266506:0.000000
x:@0.480039:0.281899:0.487502:0.281899:0.487502:0.266506:0.480039:0.266506:0.000000
;:@0.200160:0.281899:0.203367:0.281899:0.203367:0.266230:0.200160:0.266230:0.000000
;:@0.257120:0.281899:0.260326:0.281899:0.260326:0.266230:0.257120:0.266230:0.000000
;:@0.337114:0.281899:0.340321:0.281899:0.340321:0.266230:0.337114:0.266230:0.000000
n:@0.150933:0.274238:0.156444:0.274238:0.156444:0.265317:0.150933:0.265317:0.000000
m:@0.127951:0.274359:0.136430:0.274359:0.136430:0.265438:0.127951:0.265438:0.000000
n:@0.189145:0.265045:0.194656:0.265045:0.194656:0.256124:0.189145:0.256124:0.000000
m:@0.187468:0.276242:0.195948:0.276242:0.195948:0.267321:0.187468:0.267321:0.000000
n:@0.453413:0.274238:0.458924:0.274238:0.458924:0.265317:0.453413:0.265317:0.000000
m:@0.430430:0.274359:0.438910:0.274359:0.438910:0.265438:0.430430:0.265438:0.000000
d) :@0.096359:0.325721:0.116851:0.325721:0.116851:0.308586:0.096359:0.308586:0.000000:0.000000:0.000000
Si n:@0.128158:0.325945:0.154362:0.325945:0.154362:0.310552:0.128158:0.310552:0.000000:0.000000:0.000000:0.000000
=:@0.156998:0.326623:0.167114:0.326623:0.167114:0.311050:0.156998:0.311050:0.000000
1:@0.169141:0.325945:0.178134:0.325945:0.178134:0.310275:0.169141:0.310275:0.000000
x:@0.219146:0.325945:0.226609:0.325945:0.226609:0.310552:0.219146:0.310552:0.000000
n:@0.228463:0.318284:0.233974:0.318284:0.233974:0.309363:0.228463:0.309363:0.000000
m:@0.205534:0.318517:0.214014:0.318517:0.214014:0.309596:0.205534:0.309596:0.000000
=:@0.239981:0.326623:0.250097:0.326623:0.250097:0.311050:0.239981:0.311050:0.000000
x:@0.254741:0.325945:0.262204:0.325945:0.262204:0.310552:0.254741:0.310552:0.000000
1:@0.266784:0.309169:0.271996:0.309169:0.271996:0.300087:0.266784:0.300087:0.000000
m:@0.264691:0.320286:0.273171:0.320286:0.273171:0.311365:0.264691:0.311365:0.000000
e) :@0.096359:0.370568:0.115598:0.370568:0.115598:0.353432:0.096359:0.353432:0.000000:0.000000:0.000000
=:@0.168775:0.371246:0.178891:0.371246:0.178891:0.355673:0.168775:0.355673:0.000000
∈:@0.237399:0.371246:0.250538:0.371246:0.250538:0.355673:0.237399:0.355673:0.000000
∧∈:@0.298505:0.371246:0.337553:0.371246:0.337553:0.355673:0.298505:0.355673:0.000000:0.000000
⋅:@0.187988:0.364125:0.190658:0.364125:0.190658:0.355099:0.187988:0.355099:0.000000
x:@0.153959:0.370568:0.161422:0.370568:0.161422:0.354207:0.153959:0.354207:0.000000
x x:@0.204008:0.370568:0.233345:0.370568:0.233345:0.354207:0.204008:0.354207:0.000000:0.000000:0.000000
m n:@0.281367:0.370568:0.322037:0.370568:0.322037:0.354207:0.281367:0.354207:0.000000:0.000000:0.000000
;:@0.214641:0.370568:0.217847:0.370568:0.217847:0.354898:0.214641:0.354898:0.000000
;:@0.271601:0.370568:0.274807:0.370568:0.274807:0.354898:0.271601:0.354898:0.000000
m:@0.140295:0.363732:0.148775:0.363732:0.148775:0.354250:0.140295:0.354250:0.000000
n:@0.129456:0.363219:0.134966:0.363219:0.134966:0.353737:0.129456:0.353737:0.000000
nm:@0.182694:0.363732:0.198873:0.363732:0.198873:0.354250:0.182694:0.354250:0.000000:0.000000
:@0.250442:0.371439:0.263747:0.371439:0.263747:0.354691:0.250442:0.354691:0.000000
:@0.337458:0.371439:0.350763:0.371439:0.350763:0.354691:0.337458:0.354691:0.000000
Ejemplo 1:@0.096359:0.407558:0.165865:0.407558:0.165865:0.392445:0.096359:0.392445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicar las propiedades de la radicación.:@0.096359:0.431596:0.389265:0.431596:0.389265:0.415926:0.096359:0.415926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.096359:0.484234:0.111875:0.484234:0.111875:0.467099:0.096359:0.467099:0.000000:0.000000
 :@0.111875:0.484234:0.115911:0.484234:0.115911:0.468565:0.111875:0.468565:0.000000
π:@0.148610:0.486173:0.158727:0.486173:0.163292:0.470600:0.153175:0.470600:0.000000
⋅:@0.171497:0.486173:0.176104:0.486173:0.176104:0.470600:0.171497:0.470600:0.000000
=:@0.204372:0.486173:0.214488:0.486173:0.214488:0.470600:0.204372:0.470600:0.000000
4:@0.140723:0.485495:0.149715:0.485495:0.149715:0.469826:0.140723:0.469826:0.000000
5:@0.189980:0.485495:0.198972:0.485495:0.198972:0.469826:0.189980:0.469826:0.000000
2:@0.162754:0.477834:0.167965:0.477834:0.167965:0.468753:0.162754:0.468753:0.000000
 :@0.218665:0.490525:0.222701:0.490525:0.222701:0.474855:0.218665:0.474855:0.000000
  :@0.222701:0.484232:0.230772:0.484232:0.230772:0.468562:0.222701:0.468562:0.000000:0.000000
 :@0.277285:0.484232:0.281321:0.484232:0.281321:0.468562:0.277285:0.468562:0.000000
b)  :@0.337597:0.484232:0.361700:0.484232:0.361700:0.467096:0.337597:0.467096:0.000000:0.000000:0.000000:0.000000
  :@0.361700:0.484232:0.369771:0.484232:0.369771:0.468562:0.361700:0.468562:0.000000:0.000000
=:@0.432590:0.484916:0.442706:0.484916:0.442706:0.469343:0.432590:0.469343:0.000000
e:@0.405427:0.475276:0.413222:0.475276:0.413222:0.458915:0.405427:0.458915:0.000000
64:@0.386742:0.475276:0.404524:0.475276:0.404524:0.459606:0.386742:0.459606:0.000000:0.000000
243:@0.393486:0.494722:0.420059:0.494722:0.420059:0.479052:0.393486:0.479052:0.000000:0.000000:0.000000
42:@0.414529:0.467619:0.424813:0.467619:0.424813:0.458538:0.414529:0.458538:0.000000:0.000000
5:@0.374427:0.479481:0.379638:0.479481:0.379638:0.470400:0.374427:0.470400:0.000000
  :@0.446829:0.484238:0.462253:0.484238:0.462253:0.468568:0.446829:0.468568:0.000000:0.000000
 :@0.518513:0.484238:0.522548:0.484238:0.522548:0.468568:0.518513:0.468568:0.000000
Solución:@0.096359:0.521228:0.157020:0.521228:0.157020:0.506115:0.096359:0.506115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.096359:0.559053:0.111875:0.559053:0.111875:0.541917:0.096359:0.541917:0.000000:0.000000
     4:@0.111875:0.559053:0.152882:0.560310:0.152882:0.544640:0.111875:0.543383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.151777:0.560988:0.161893:0.560988:0.166458:0.545415:0.156341:0.545415:0.000000
π:@0.269621:0.560988:0.279738:0.560988:0.284303:0.545415:0.274186:0.545415:0.000000
⋅:@0.174663:0.560988:0.179270:0.560988:0.179270:0.545415:0.174663:0.545415:0.000000
=:@0.207538:0.560988:0.217655:0.560988:0.217655:0.545415:0.207538:0.545415:0.000000
⋅:@0.252778:0.560988:0.257385:0.560988:0.257385:0.545415:0.252778:0.545415:0.000000
⋅:@0.293982:0.560988:0.298589:0.560988:0.298589:0.545415:0.293982:0.545415:0.000000
5:@0.193146:0.560310:0.202139:0.560310:0.202139:0.544640:0.193146:0.544640:0.000000
2:@0.233452:0.560310:0.242445:0.560310:0.242445:0.544640:0.233452:0.544640:0.000000
5 Aplicamos la propiedad distributiva.:@0.324964:0.560310:0.606426:0.559046:0.606426:0.543377:0.324964:0.544640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.165920:0.552649:0.171132:0.552649:0.171132:0.543568:0.165920:0.543568:0.000000
2:@0.242568:0.552649:0.247780:0.552649:0.247780:0.543568:0.242568:0.543568:0.000000
2:@0.283759:0.552649:0.288971:0.552649:0.288971:0.543568:0.283759:0.543568:0.000000
 :@0.339098:0.565339:0.343133:0.565339:0.343133:0.549669:0.339098:0.549669:0.000000
π:@0.148401:0.589741:0.158518:0.589741:0.163083:0.574168:0.152966:0.574168:0.000000
=:@0.127835:0.589741:0.137952:0.589741:0.137952:0.574168:0.127835:0.574168:0.000000
2:@0.141232:0.589063:0.150225:0.589063:0.150225:0.573393:0.141232:0.573393:0.000000
5 Aplicamos las propiedades raíz de una potencia y raíz de raíz.:@0.174733:0.589063:0.638821:0.589059:0.638821:0.573390:0.174733:0.573393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.164220:0.582227:0.169431:0.582227:0.169431:0.573146:0.164220:0.573146:0.000000
 :@0.188511:0.592835:0.192546:0.592835:0.192546:0.577165:0.188511:0.577165:0.000000
b):@0.096359:0.646170:0.111503:0.646170:0.111503:0.630592:0.096359:0.630592:0.000000:0.000000
     :@0.111503:0.646170:0.129261:0.646170:0.129261:0.631057:0.111503:0.631057:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.190772:0.648419:0.200889:0.648419:0.200889:0.632846:0.190772:0.632846:0.000000
⋅⋅:@0.235791:0.639457:0.256946:0.639457:0.256946:0.623884:0.235791:0.623884:0.000000:0.000000
e:@0.164911:0.638783:0.172706:0.638783:0.172706:0.622422:0.164911:0.622422:0.000000
e:@0.258671:0.638783:0.266466:0.638783:0.266466:0.622422:0.258671:0.622422:0.000000
64:@0.146222:0.638783:0.164005:0.638783:0.164005:0.623113:0.146222:0.623113:0.000000:0.000000
243:@0.152304:0.658229:0.178876:0.658229:0.178876:0.642559:0.152304:0.642559:0.000000:0.000000:0.000000
22:@0.218164:0.638783:0.250762:0.638783:0.250762:0.623113:0.218164:0.623113:0.000000:0.000000
3:@0.240627:0.658229:0.249620:0.658229:0.249620:0.642559:0.240627:0.642559:0.000000
15:@0.172921:0.631121:0.183205:0.631121:0.183205:0.622039:0.172921:0.622039:0.000000:0.000000
5:@0.133919:0.642983:0.139130:0.642983:0.139130:0.633902:0.133919:0.633902:0.000000
5:@0.227262:0.631121:0.232474:0.631121:0.232474:0.622039:0.227262:0.622039:0.000000
15:@0.266681:0.631121:0.276972:0.631121:0.276972:0.622039:0.266681:0.622039:0.000000:0.000000
5:@0.249301:0.650566:0.254512:0.650566:0.254512:0.641485:0.249301:0.641485:0.000000
5:@0.206219:0.642983:0.211430:0.642983:0.211430:0.633902:0.206219:0.633902:0.000000
 :@0.285058:0.662515:0.288609:0.662515:0.288609:0.647402:0.285058:0.647402:0.000000
Descomponemos en factores primos.:@0.288609:0.646484:0.563454:0.646484:0.563454:0.630814:0.288609:0.630814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.127835:0.701061:0.137952:0.701061:0.137952:0.685488:0.127835:0.685488:0.000000
⋅:@0.197105:0.692099:0.201711:0.692099:0.201711:0.676526:0.197105:0.676526:0.000000
e:@0.215956:0.691421:0.223751:0.691421:0.223751:0.675060:0.215956:0.675060:0.000000
2:@0.155237:0.691421:0.164230:0.691421:0.164230:0.675752:0.155237:0.675752:0.000000
2:@0.185071:0.691421:0.194064:0.691421:0.194064:0.675752:0.185071:0.675752:0.000000
3:@0.187799:0.713425:0.196791:0.713425:0.196791:0.697756:0.187799:0.697756:0.000000
5 5:@0.164325:0.683764:0.179853:0.684590:0.179853:0.675508:0.164325:0.674683:0.000000:0.000000:0.000000
5:@0.144803:0.683884:0.150014:0.683884:0.150014:0.674803:0.144803:0.674803:0.000000
15:@0.223960:0.683764:0.234245:0.683764:0.234245:0.674683:0.223960:0.674683:0.000000:0.000000
5:@0.205164:0.683884:0.210376:0.683884:0.210376:0.674803:0.205164:0.674803:0.000000
5:@0.196471:0.705766:0.201683:0.705766:0.201683:0.696685:0.196471:0.696685:0.000000
5:@0.177365:0.705886:0.182577:0.705886:0.182577:0.696805:0.177365:0.696805:0.000000
 Aplicamos la propiedad distributiva.:@0.242118:0.701641:0.509446:0.701641:0.509446:0.685971:0.242118:0.685971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.127835:0.749931:0.137952:0.749931:0.137952:0.734358:0.127835:0.734358:0.000000
e:@0.151865:0.740291:0.159660:0.740291:0.159660:0.723930:0.151865:0.723930:0.000000
2:@0.142703:0.740295:0.151695:0.740295:0.151695:0.724625:0.142703:0.724625:0.000000
2:@0.179816:0.740295:0.188809:0.740295:0.188809:0.724625:0.179816:0.724625:0.000000
3:@0.162181:0.759740:0.171173:0.759740:0.171173:0.744071:0.162181:0.744071:0.000000
3 5:@0.160556:0.732634:0.174610:0.733460:0.174610:0.724378:0.160556:0.723553:0.000000:0.000000:0.000000
 :@0.195211:0.763084:0.199247:0.763084:0.199247:0.747414:0.195211:0.747414:0.000000
Aplicamos la propiedad raíz de una potencia.:@0.199247:0.750512:0.529467:0.750512:0.529467:0.734842:0.199247:0.734842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.096359:0.787500:0.165865:0.787500:0.165865:0.772388:0.096359:0.772388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresa en forma de potencia   2:@0.096359:0.811539:0.344557:0.810483:0.344557:0.794813:0.096359:0.795869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.356138:0.802820:0.361350:0.802820:0.361350:0.793739:0.356138:0.793739:0.000000
7:@0.324890:0.804784:0.330101:0.804784:0.330101:0.795703:0.324890:0.795703:0.000000
=:@0.367237:0.811160:0.377354:0.811160:0.377354:0.795587:0.367237:0.795587:0.000000
Solución:@0.096359:0.840983:0.157020:0.840983:0.157020:0.825871:0.096359:0.825871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.109715:0.874524:0.118989:0.874524:0.118989:0.858366:0.109715:0.858366:0.000000
3:@0.130931:0.866623:0.136305:0.866623:0.136305:0.857258:0.130931:0.857258:0.000000
7:@0.098707:0.868648:0.104081:0.868648:0.104081:0.859283:0.098707:0.859283:0.000000
=:@0.142376:0.875223:0.152809:0.875223:0.152809:0.859164:0.142376:0.859164:0.000000
2:@0.168999:0.874524:0.178272:0.874524:0.178272:0.858366:0.168999:0.858366:0.000000
7:@0.158031:0.867596:0.163406:0.867596:0.163406:0.858231:0.158031:0.858231:0.000000
3:@0.211962:0.866623:0.217337:0.866623:0.217337:0.857258:0.211962:0.857258:0.000000
7:@0.188802:0.868648:0.194177:0.868648:0.194177:0.859283:0.188802:0.859283:0.000000
 :@0.223677:0.885140:0.227713:0.885140:0.227713:0.869470:0.223677:0.869470:0.000000
Aplicamos primero la propiedad distributiva.:@0.227713:0.877602:0.553692:0.877602:0.553692:0.861933:0.227713:0.861933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.099343:0.918908:0.109460:0.918908:0.109460:0.903335:0.099343:0.903335:0.000000
2:@0.112648:0.918231:0.121641:0.918231:0.121641:0.902561:0.112648:0.902561:0.000000
1:@0.123005:0.901453:0.128217:0.901453:0.128217:0.892372:0.123005:0.892372:0.000000
7:@0.122375:0.912570:0.127587:0.912570:0.127587:0.903489:0.122375:0.903489:0.000000
3:@0.150124:0.901453:0.155336:0.901453:0.155336:0.892372:0.150124:0.892372:0.000000
7:@0.149814:0.912570:0.155026:0.912570:0.155026:0.903489:0.149814:0.903489:0.000000
 :@0.159834:0.925209:0.163869:0.925209:0.163869:0.909539:0.159834:0.909539:0.000000
Aplicamos la propiedad raíz de una potencia.:@0.163685:0.918916:0.493905:0.918916:0.493905:0.903246:0.163685:0.903246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.732109:0.179490:0.740696:0.179490:0.740696:0.163820:0.732109:0.163820:0.000000:0.000000
y:@0.783839:0.178232:0.791320:0.178232:0.791320:0.161871:0.783839:0.161871:0.000000
3:@0.761484:0.178232:0.770477:0.178232:0.770477:0.162563:0.761484:0.162563:0.000000
3  :@0.808917:0.178232:0.834153:0.179490:0.834153:0.163820:0.808917:0.162563:0.000000:0.000000:0.000000
2:@0.770176:0.170570:0.775387:0.170570:0.775387:0.161489:0.770176:0.161489:0.000000
4:@0.750963:0.170690:0.756175:0.170690:0.756175:0.161609:0.750963:0.161609:0.000000
4:@0.818020:0.170570:0.823232:0.170570:0.823232:0.161489:0.818020:0.161489:0.000000
8:@0.798284:0.170690:0.803496:0.170690:0.803496:0.161609:0.798284:0.161609:0.000000
 :@0.732101:0.206777:0.736136:0.206777:0.736136:0.191107:0.732101:0.191107:0.000000
son :@0.746345:0.201743:0.776935:0.201743:0.776935:0.186073:0.746345:0.186073:0.000000:0.000000:0.000000:0.000000
radicales:@0.776935:0.201743:0.847679:0.201743:0.847679:0.184842:0.776935:0.184842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.847679:0.201743:0.851714:0.201743:0.851714:0.186073:0.847679:0.186073:0.000000
semejantes:@0.746345:0.218339:0.837009:0.218339:0.837009:0.201438:0.746345:0.201438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
; al :@0.837009:0.218339:0.860560:0.218339:0.860560:0.202669:0.837009:0.202669:0.000000:0.000000:0.000000:0.000000:0.000000
simplificarlos se :@0.746345:0.234935:0.865644:0.234935:0.865644:0.219266:0.746345:0.219266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtiene el mismo :@0.746345:0.251532:0.879282:0.251532:0.879282:0.235862:0.746345:0.235862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
índice y la misma :@0.746345:0.268128:0.876905:0.268128:0.876905:0.252458:0.746345:0.252458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cantidad subradical.:@0.746345:0.284725:0.892806:0.284725:0.892806:0.269055:0.746345:0.269055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•    2; 13:@0.732101:0.313685:0.811004:0.312434:0.811004:0.296765:0.732101:0.298016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.814469:0.312434:0.821950:0.312434:0.821950:0.296073:0.814469:0.296073:0.000000
3:@0.839549:0.312434:0.848542:0.312434:0.848542:0.296765:0.839549:0.296765:0.000000
5:@0.755102:0.305598:0.760313:0.305598:0.760313:0.296517:0.755102:0.296517:0.000000
5:@0.783948:0.305598:0.789159:0.305598:0.789159:0.296517:0.783948:0.296517:0.000000
5:@0.829122:0.305598:0.834334:0.305598:0.834334:0.296517:0.829122:0.296517:0.000000
son :@0.746355:0.330288:0.776945:0.330288:0.776945:0.314618:0.746355:0.314618:0.000000:0.000000:0.000000:0.000000
radicales :@0.776945:0.330288:0.851503:0.330288:0.851503:0.313387:0.776945:0.313387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
homogéneos:@0.746355:0.346884:0.851503:0.346884:0.851503:0.329984:0.746355:0.329984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.851503:0.346884:0.855539:0.346884:0.855539:0.331215:0.851503:0.331215:0.000000
porque tienen :@0.746355:0.363481:0.855521:0.363481:0.855521:0.347811:0.746355:0.347811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el mismo índice, :@0.746355:0.380077:0.869800:0.380077:0.869800:0.364407:0.746355:0.364407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pero las cantidades :@0.746355:0.396673:0.891989:0.396673:0.891989:0.381004:0.746355:0.381004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
subradicales :@0.746355:0.413270:0.841202:0.413270:0.841202:0.397600:0.746355:0.397600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferentes.:@0.746355:0.429866:0.822165:0.429866:0.822165:0.414196:0.746355:0.414196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que...:@0.762161:0.138433:0.884242:0.138433:0.884242:0.121532:0.762161:0.121532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
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