25:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.090870:0.242599:0.090870:0.242599:0.075506:0.117728:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.091656:0.108221:0.091656:0.108221:0.074520:0.096132:0.074520:0.000000
2.:@0.096353:0.366824:0.110579:0.366824:0.110579:0.349923:0.096353:0.349923:0.000000:0.000000
  Racionalicemos el monomio: :@0.110579:0.366824:0.341056:0.366824:0.341056:0.350435:0.110579:0.350435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.352629:0.356948:0.361621:0.356948:0.361621:0.340559:0.352629:0.340559:0.000000
5:@0.357549:0.377500:0.366542:0.377500:0.366542:0.361111:0.357549:0.361111:0.000000
Corresponde al caso I.:@0.124845:0.397678:0.290076:0.397678:0.290076:0.381054:0.124845:0.381054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Multiplicamos el numerador y denominador por la misma :@0.290076:0.397678:0.716492:0.397678:0.716492:0.381289:0.290076:0.381289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
raíz.:@0.124845:0.414274:0.153131:0.414274:0.153131:0.397885:0.124845:0.397885:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.136421:0.447673:0.145413:0.447673:0.145413:0.431284:0.136421:0.431284:0.000000
5:@0.141341:0.468225:0.150333:0.468225:0.150333:0.451836:0.141341:0.451836:0.000000
5:@0.174418:0.447673:0.183411:0.447673:0.183411:0.431284:0.174418:0.431284:0.000000
5:@0.174418:0.468225:0.183411:0.468225:0.183411:0.451836:0.174418:0.451836:0.000000
5:@0.226661:0.447673:0.235653:0.447673:0.235653:0.431284:0.226661:0.431284:0.000000
5:@0.222994:0.472001:0.231986:0.472001:0.231986:0.455612:0.222994:0.455612:0.000000
5:@0.278958:0.447673:0.287951:0.447673:0.287951:0.431284:0.278958:0.431284:0.000000
5:@0.273467:0.467285:0.282460:0.467285:0.282460:0.450896:0.273467:0.450896:0.000000
2:@0.239972:0.459421:0.245184:0.459421:0.245184:0.449923:0.239972:0.449923:0.000000
⋅:@0.154378:0.456019:0.158984:0.456019:0.158984:0.439077:0.154378:0.439077:0.000000
=:@0.188985:0.456019:0.199101:0.456019:0.199101:0.439077:0.188985:0.439077:0.000000
( ):@0.203484:0.476224:0.239934:0.476224:0.239934:0.446541:0.203484:0.446541:0.000000:0.000000:0.000000
=:@0.251960:0.456019:0.262077:0.456019:0.262077:0.439077:0.251960:0.439077:0.000000
3.:@0.096357:0.500470:0.110583:0.500470:0.110583:0.483569:0.096357:0.483569:0.000000:0.000000
  Racionalizamos las siguientes expresiones.:@0.110583:0.500470:0.434466:0.500470:0.434466:0.484081:0.110583:0.484081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.124846:0.531574:0.139754:0.531574:0.139754:0.514674:0.124846:0.514674:0.000000:0.000000
5:@0.169207:0.534108:0.178199:0.534108:0.178199:0.517719:0.169207:0.517719:0.000000
43:@0.157892:0.554660:0.188353:0.554660:0.188353:0.538271:0.157892:0.538271:0.000000:0.000000
5:@0.220565:0.534108:0.229557:0.534108:0.229557:0.517719:0.220565:0.517719:0.000000
43:@0.209250:0.554660:0.239711:0.554660:0.239711:0.538271:0.209250:0.538271:0.000000:0.000000
3:@0.264054:0.534108:0.273046:0.534108:0.273046:0.517719:0.264054:0.517719:0.000000
3:@0.264054:0.554660:0.273046:0.554660:0.273046:0.538271:0.264054:0.538271:0.000000
53:@0.305627:0.534108:0.335240:0.534108:0.335240:0.517719:0.305627:0.517719:0.000000:0.000000
4:@0.293958:0.558428:0.302951:0.558428:0.302951:0.542039:0.293958:0.542039:0.000000
3:@0.324106:0.558428:0.333099:0.558428:0.333099:0.542039:0.324106:0.542039:0.000000
53:@0.172504:0.586246:0.202117:0.586246:0.202117:0.569857:0.172504:0.569857:0.000000:0.000000
43:@0.171509:0.605857:0.198192:0.605857:0.198192:0.589468:0.171509:0.589468:0.000000:0.000000
53:@0.224064:0.586246:0.253677:0.586246:0.253677:0.569857:0.224064:0.569857:0.000000:0.000000
12:@0.230090:0.605857:0.247983:0.605857:0.247983:0.589468:0.230090:0.589468:0.000000:0.000000
2:@0.341338:0.545856:0.346549:0.545856:0.346549:0.536358:0.341338:0.536358:0.000000
=:@0.194178:0.542454:0.204295:0.542454:0.204295:0.525512:0.194178:0.525512:0.000000
⋅:@0.244025:0.542454:0.248632:0.542454:0.248632:0.525512:0.244025:0.525512:0.000000
=:@0.278890:0.542454:0.289006:0.542454:0.289006:0.525512:0.278890:0.525512:0.000000
( ):@0.304586:0.562658:0.341294:0.562658:0.341294:0.532976:0.304586:0.532976:0.000000:0.000000:0.000000
=:@0.156433:0.594593:0.166550:0.594593:0.166550:0.577651:0.156433:0.577651:0.000000
():@0.182136:0.607187:0.204913:0.607187:0.204913:0.585535:0.182136:0.585535:0.000000:0.000000
=:@0.209568:0.594593:0.219685:0.594593:0.219685:0.577651:0.209568:0.577651:0.000000
  :@0.352696:0.531568:0.370128:0.531568:0.370128:0.515179:0.352696:0.515179:0.000000:0.000000
 :@0.426401:0.531568:0.430436:0.531568:0.430436:0.515179:0.426401:0.515179:0.000000
b) :@0.486702:0.531568:0.506732:0.531568:0.506732:0.514667:0.486702:0.514667:0.000000:0.000000:0.000000
7:@0.514413:0.537310:0.523406:0.537310:0.523406:0.520921:0.514413:0.520921:0.000000
5:@0.520384:0.557862:0.529377:0.557862:0.529377:0.541473:0.520384:0.541473:0.000000
7:@0.555986:0.537310:0.564979:0.537310:0.564979:0.520921:0.555986:0.520921:0.000000
5:@0.561957:0.557862:0.570949:0.557862:0.570949:0.541473:0.561957:0.541473:0.000000
5:@0.598701:0.537310:0.607694:0.537310:0.607694:0.520921:0.598701:0.520921:0.000000
5:@0.595034:0.559701:0.604027:0.559701:0.604027:0.543312:0.595034:0.543312:0.000000
75:@0.521158:0.581277:0.551361:0.581277:0.551361:0.564888:0.521158:0.564888:0.000000:0.000000
5:@0.534499:0.603668:0.543492:0.603668:0.543492:0.587279:0.534499:0.587279:0.000000
75:@0.571097:0.581277:0.601300:0.581277:0.601300:0.564888:0.571097:0.564888:0.000000:0.000000
5:@0.582614:0.600888:0.591607:0.600888:0.591607:0.584499:0.582614:0.584499:0.000000
3:@0.509964:0.550865:0.515176:0.550865:0.515176:0.541367:0.509964:0.541367:0.000000
3:@0.551529:0.550865:0.556741:0.550865:0.556741:0.541367:0.551529:0.541367:0.000000
3:@0.588278:0.530314:0.593490:0.530314:0.593490:0.520815:0.588278:0.520815:0.000000
2:@0.603507:0.552043:0.608719:0.552043:0.608719:0.542545:0.603507:0.542545:0.000000
3:@0.584604:0.552003:0.589816:0.552003:0.589816:0.542505:0.584604:0.542505:0.000000
3:@0.531943:0.574277:0.537154:0.574277:0.537154:0.564779:0.531943:0.564779:0.000000
3:@0.542985:0.596007:0.548197:0.596007:0.548197:0.586509:0.542985:0.586509:0.000000
3:@0.524082:0.595967:0.529294:0.595967:0.529294:0.586469:0.524082:0.586469:0.000000
3:@0.581881:0.574277:0.587092:0.574277:0.587092:0.564779:0.581881:0.564779:0.000000
=:@0.534935:0.545656:0.545052:0.545656:0.545052:0.528714:0.534935:0.528714:0.000000
⋅:@0.574978:0.545656:0.579585:0.545656:0.579585:0.528714:0.574978:0.528714:0.000000
=:@0.506980:0.589623:0.517097:0.589623:0.517097:0.572680:0.506980:0.572680:0.000000
=:@0.556919:0.589623:0.567036:0.589623:0.567036:0.572680:0.556919:0.572680:0.000000
4.:@0.096357:0.648913:0.110583:0.648913:0.110583:0.632013:0.096357:0.632013:0.000000:0.000000
  Racionalizamos las siguientes expresiones. :@0.110583:0.648913:0.438501:0.648913:0.438501:0.632524:0.110583:0.632524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.446722:0.640127:0.455715:0.640127:0.455715:0.623738:0.446722:0.623738:0.000000
3:@0.483467:0.640127:0.492459:0.640127:0.492459:0.623738:0.483467:0.623738:0.000000
32 5:@0.442482:0.660676:0.496346:0.660676:0.496346:0.644288:0.442482:0.644288:0.000000:0.000000:0.000000:0.000000
−:@0.458569:0.639710:0.468686:0.639710:0.468686:0.622768:0.458569:0.622768:0.000000
+:@0.453760:0.660262:0.463876:0.660262:0.463876:0.643319:0.453760:0.643319:0.000000
4:@0.129822:0.694742:0.138815:0.694742:0.138815:0.679072:0.129822:0.679072:0.000000
5:@0.166567:0.694742:0.175559:0.694742:0.175559:0.679072:0.166567:0.679072:0.000000
32 5:@0.125473:0.715280:0.179337:0.715280:0.179337:0.699610:0.125473:0.699610:0.000000:0.000000:0.000000:0.000000
4:@0.212802:0.694742:0.221794:0.694742:0.221794:0.679072:0.212802:0.679072:0.000000
5:@0.249546:0.694742:0.258539:0.694742:0.258539:0.679072:0.249546:0.679072:0.000000
32 5:@0.208453:0.715280:0.262317:0.715280:0.262317:0.699610:0.208453:0.699610:0.000000:0.000000:0.000000:0.000000
32 5:@0.285572:0.694742:0.339123:0.694742:0.339123:0.679072:0.285572:0.679072:0.000000:0.000000:0.000000:0.000000
32 5:@0.285572:0.715280:0.339123:0.715280:0.339123:0.699610:0.285572:0.699610:0.000000:0.000000:0.000000:0.000000
−:@0.141671:0.694327:0.151788:0.694327:0.151788:0.677385:0.141671:0.677385:0.000000
+:@0.136751:0.714865:0.146867:0.714865:0.146867:0.697923:0.136751:0.697923:0.000000
= :@0.184920:0.703081:0.205025:0.705128:0.205025:0.688186:0.184920:0.686139:0.000000:0.000000:0.000000
−:@0.224650:0.694327:0.234767:0.694327:0.234767:0.677385:0.224650:0.677385:0.000000
+:@0.219730:0.714865:0.229847:0.714865:0.229847:0.697923:0.219730:0.697923:0.000000
:@0.197949:0.692598:0.205025:0.692598:0.205025:0.675656:0.197949:0.675656:0.000000
:@0.197949:0.718336:0.205025:0.718336:0.205025:0.701394:0.197949:0.701394:0.000000
:@0.197949:0.709651:0.205025:0.709651:0.205025:0.692709:0.197949:0.692709:0.000000
:@0.266426:0.692598:0.282145:0.692598:0.282145:0.675656:0.266426:0.675656:0.000000:0.000000
:@0.266426:0.718336:0.282145:0.718336:0.282145:0.701394:0.266426:0.701394:0.000000:0.000000
:@0.266426:0.705128:0.282145:0.705128:0.282145:0.688186:0.266426:0.688186:0.000000:0.000000
:@0.266426:0.709651:0.282145:0.709651:0.282145:0.692709:0.266426:0.692709:0.000000:0.000000
−:@0.296850:0.694327:0.306967:0.694327:0.306967:0.677385:0.296850:0.677385:0.000000
−:@0.296850:0.714865:0.306967:0.714865:0.306967:0.697923:0.296850:0.697923:0.000000
:@0.343232:0.692598:0.350309:0.692598:0.350309:0.675656:0.343232:0.675656:0.000000
:@0.343232:0.718336:0.350309:0.718336:0.350309:0.701394:0.343232:0.701394:0.000000
 =:@0.343232:0.705128:0.364283:0.703149:0.364283:0.686207:0.343232:0.688186:0.000000:0.000000:0.000000
:@0.343232:0.709651:0.350309:0.709651:0.350309:0.692709:0.343232:0.692709:0.000000
5:@0.496440:0.703148:0.504615:0.703148:0.504615:0.688903:0.496440:0.688903:0.000000
2 −:@0.458144:0.703148:0.479972:0.703148:0.479972:0.688903:0.458144:0.688903:0.000000:0.000000:0.000000
−:@0.388829:0.694381:0.398946:0.694381:0.398946:0.677439:0.388829:0.677439:0.000000
−:@0.390653:0.713992:0.400770:0.713992:0.400770:0.697050:0.390653:0.697050:0.000000
22 11 5:@0.368669:0.694796:0.436299:0.694796:0.436299:0.679126:0.368669:0.679126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11:@0.400715:0.714407:0.418608:0.714407:0.418608:0.698737:0.400715:0.698737:0.000000:0.000000
=:@0.443283:0.703163:0.453399:0.703163:0.453399:0.686221:0.443283:0.686221:0.000000
5.:@0.096364:0.744599:0.110590:0.744599:0.110590:0.727698:0.096364:0.727698:0.000000:0.000000
  Apliquemos las propiedades de la potenciación para simplificar las siguientes :@0.110590:0.744599:0.716566:0.744599:0.716566:0.728210:0.110590:0.728210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.579336:0.744599:0.583371:0.744599:0.583371:0.728210:0.579336:0.728210:0.000000
expresiones.:@0.124853:0.761195:0.215257:0.761195:0.215257:0.744806:0.124853:0.744806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.124853:0.812188:0.139761:0.812188:0.139761:0.795287:0.124853:0.795287:0.000000:0.000000
2:@0.191037:0.804562:0.200029:0.804562:0.200029:0.788892:0.191037:0.788892:0.000000
3:@0.191037:0.824173:0.200029:0.824173:0.200029:0.808504:0.191037:0.808504:0.000000
3:@0.310356:0.804562:0.319348:0.804562:0.319348:0.788892:0.310356:0.788892:0.000000
2:@0.310356:0.824173:0.319348:0.824173:0.319348:0.808504:0.310356:0.808504:0.000000
2:@0.374060:0.804631:0.383053:0.804631:0.383053:0.788961:0.374060:0.788961:0.000000
3:@0.216388:0.795014:0.221600:0.795014:0.221600:0.785932:0.216388:0.785932:0.000000
2:@0.232760:0.791279:0.237972:0.791279:0.237972:0.782197:0.232760:0.782197:0.000000
2:@0.255273:0.787543:0.260485:0.787543:0.260485:0.778462:0.255273:0.778462:0.000000
1:@0.277786:0.783809:0.282997:0.783809:0.282997:0.774727:0.277786:0.774727:0.000000
12:@0.335690:0.795006:0.346028:0.795006:0.346028:0.785925:0.335690:0.785925:0.000000:0.000000
 :@0.180528:0.805414:0.209994:0.805414:0.209994:0.788472:0.180528:0.788472:0.000000:0.000000:0.000000
 :@0.180528:0.825164:0.209994:0.825164:0.209994:0.808222:0.180528:0.808222:0.000000:0.000000:0.000000
  :@0.180528:0.816479:0.232512:0.814224:0.232512:0.797282:0.180528:0.799537:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.171462:0.801680:0.178538:0.801680:0.178538:0.784738:0.171462:0.784738:0.000000
:@0.171462:0.828898:0.178538:0.828898:0.178538:0.811956:0.171462:0.811956:0.000000
:@0.171462:0.814211:0.178538:0.814211:0.178538:0.797268:0.171462:0.797268:0.000000
:@0.171462:0.820227:0.178538:0.820227:0.178538:0.803285:0.171462:0.803285:0.000000
:@0.225436:0.801694:0.232512:0.801694:0.232512:0.784752:0.225436:0.784752:0.000000
:@0.225436:0.828912:0.232512:0.828912:0.232512:0.811970:0.225436:0.811970:0.000000
:@0.225436:0.820241:0.232512:0.820241:0.232512:0.803298:0.225436:0.803298:0.000000
:@0.162414:0.797974:0.169490:0.797974:0.169490:0.781032:0.162414:0.781032:0.000000
:@0.162414:0.832660:0.169490:0.832660:0.169490:0.815718:0.162414:0.815718:0.000000
:@0.162414:0.810504:0.169490:0.810504:0.169490:0.793562:0.162414:0.793562:0.000000
:@0.162414:0.823670:0.169490:0.823670:0.169490:0.806728:0.162414:0.806728:0.000000
:@0.241837:0.797988:0.248913:0.797988:0.248913:0.781045:0.241837:0.781045:0.000000
:@0.241837:0.832674:0.248913:0.832674:0.248913:0.815732:0.241837:0.815732:0.000000
:@0.241837:0.810518:0.248913:0.810518:0.248913:0.793576:0.241837:0.793576:0.000000
:@0.241837:0.823684:0.248913:0.823684:0.248913:0.806742:0.241837:0.806742:0.000000
:@0.153366:0.794267:0.160442:0.794267:0.160442:0.777325:0.153366:0.777325:0.000000
:@0.153366:0.836422:0.160442:0.836422:0.160442:0.819480:0.153366:0.819480:0.000000
:@0.153366:0.806797:0.160442:0.806797:0.160442:0.789855:0.153366:0.789855:0.000000
:@0.153366:0.819964:0.160442:0.819964:0.160442:0.803022:0.153366:0.803022:0.000000
:@0.153366:0.827737:0.160442:0.827737:0.160442:0.810794:0.153366:0.810794:0.000000
:@0.264355:0.794267:0.271432:0.794267:0.271432:0.777325:0.264355:0.777325:0.000000
:@0.264355:0.836422:0.271432:0.836422:0.271432:0.819480:0.264355:0.819480:0.000000
:@0.264355:0.806797:0.271432:0.806797:0.271432:0.789855:0.264355:0.789855:0.000000
:@0.264355:0.819964:0.271432:0.819964:0.271432:0.803022:0.264355:0.803022:0.000000
:@0.264355:0.827737:0.271432:0.827737:0.271432:0.810794:0.264355:0.810794:0.000000
=:@0.286819:0.812966:0.296935:0.812966:0.296935:0.796024:0.286819:0.796024:0.000000
 :@0.299847:0.805470:0.329331:0.805470:0.329331:0.788528:0.299847:0.788528:0.000000:0.000000:0.000000
 :@0.299847:0.825219:0.329331:0.825219:0.329331:0.808277:0.299847:0.808277:0.000000:0.000000:0.000000
 :@0.299847:0.816534:0.329331:0.816534:0.329331:0.799592:0.299847:0.799592:0.000000:0.000000:0.000000
=:@0.350541:0.813007:0.360658:0.813007:0.360658:0.796065:0.350541:0.796065:0.000000
−:@0.210563:0.794773:0.216427:0.794773:0.216427:0.784955:0.210563:0.784955:0.000000
−:@0.249469:0.787311:0.255332:0.787311:0.255332:0.777492:0.249469:0.777492:0.000000
−:@0.271983:0.783577:0.277846:0.783577:0.277846:0.773758:0.271983:0.773758:0.000000
−:@0.329866:0.794773:0.335729:0.794773:0.335729:0.784955:0.329866:0.784955:0.000000
3 3:@0.374067:0.824224:0.383059:0.824224:0.383059:0.808554:0.374067:0.808554:0.000000:0.000000:0.000000
2:@0.422753:0.804626:0.431745:0.804626:0.431745:0.788956:0.422753:0.788956:0.000000
3:@0.422753:0.824224:0.431745:0.824224:0.431745:0.808554:0.422753:0.808554:0.000000
12:@0.392600:0.795079:0.402938:0.795079:0.402938:0.785998:0.392600:0.785998:0.000000:0.000000
12:@0.430812:0.796955:0.441150:0.796955:0.441150:0.787873:0.430812:0.787873:0.000000:0.000000
12:@0.430812:0.816560:0.441150:0.816560:0.441150:0.807479:0.430812:0.807479:0.000000:0.000000
 :@0.363545:0.805460:0.393029:0.805460:0.393029:0.788518:0.363545:0.788518:0.000000:0.000000:0.000000
 :@0.363545:0.825237:0.393029:0.825237:0.393029:0.808295:0.363545:0.808295:0.000000:0.000000:0.000000
 :@0.363545:0.816538:0.393029:0.816538:0.393029:0.799596:0.363545:0.799596:0.000000:0.000000:0.000000
=:@0.408250:0.812956:0.418367:0.812956:0.418367:0.796014:0.408250:0.796014:0.000000
b):@0.124851:0.889659:0.141068:0.889659:0.141068:0.872758:0.124851:0.872758:0.000000:0.000000
16 8:@0.153344:0.880526:0.195654:0.880526:0.195654:0.864856:0.153344:0.864856:0.000000:0.000000:0.000000:0.000000
32:@0.168749:0.900123:0.186643:0.900123:0.186643:0.884453:0.168749:0.884453:0.000000:0.000000
2:@0.234075:0.877524:0.243068:0.877524:0.243068:0.861855:0.234075:0.861855:0.000000
2:@0.279942:0.877524:0.288934:0.877524:0.288934:0.861855:0.279942:0.861855:0.000000
2:@0.266397:0.903650:0.275390:0.903650:0.275390:0.887980:0.266397:0.887980:0.000000
2:@0.334709:0.880484:0.343701:0.880484:0.343701:0.864814:0.334709:0.864814:0.000000
2:@0.362977:0.880484:0.371969:0.880484:0.371969:0.864814:0.362977:0.864814:0.000000
2:@0.349525:0.900095:0.358517:0.900095:0.358517:0.884426:0.349525:0.884426:0.000000
2:@0.406595:0.880484:0.415588:0.880484:0.415588:0.864814:0.406595:0.864814:0.000000
2:@0.404347:0.900095:0.413339:0.900095:0.413339:0.884426:0.404347:0.884426:0.000000
2:@0.442879:0.889253:0.451872:0.889253:0.451872:0.873583:0.442879:0.873583:0.000000
1:@0.481982:0.880484:0.490975:0.880484:0.490975:0.864814:0.481982:0.864814:0.000000
2:@0.481245:0.900095:0.490238:0.900095:0.490238:0.884426:0.481245:0.884426:0.000000
3:@0.171576:0.872854:0.176787:0.872854:0.176787:0.863773:0.171576:0.863773:0.000000
1:@0.202098:0.872854:0.207310:0.872854:0.207310:0.863773:0.202098:0.863773:0.000000
2:@0.186388:0.892460:0.191600:0.892460:0.191600:0.883379:0.186388:0.883379:0.000000
4:@0.243118:0.869865:0.248330:0.869865:0.248330:0.860783:0.243118:0.860783:0.000000
3:@0.257845:0.866129:0.263057:0.866129:0.263057:0.857048:0.257845:0.857048:0.000000
3:@0.288666:0.869865:0.293878:0.869865:0.293878:0.860783:0.288666:0.860783:0.000000
1:@0.309193:0.866129:0.314405:0.866129:0.314405:0.857048:0.309193:0.857048:0.000000
5:@0.275125:0.895986:0.280337:0.895986:0.280337:0.886905:0.275125:0.886905:0.000000
2:@0.289297:0.892251:0.294509:0.892251:0.294509:0.883170:0.289297:0.883170:0.000000
12:@0.342770:0.872814:0.353108:0.872814:0.353108:0.863733:0.342770:0.863733:0.000000:0.000000
3:@0.377842:0.872814:0.383054:0.872814:0.383054:0.863733:0.377842:0.863733:0.000000
10:@0.357583:0.892427:0.367921:0.892427:0.367921:0.883346:0.357583:0.883346:0.000000:0.000000
9:@0.415317:0.872814:0.420529:0.872814:0.420529:0.863733:0.415317:0.863733:0.000000
10:@0.412402:0.892427:0.422740:0.892427:0.422740:0.883346:0.412402:0.883346:0.000000:0.000000
1:@0.457726:0.881583:0.462938:0.881583:0.462938:0.872502:0.457726:0.872502:0.000000
⋅:@0.180567:0.880111:0.185173:0.880111:0.185173:0.863169:0.180567:0.863169:0.000000
=:@0.212575:0.888865:0.222692:0.888865:0.222692:0.871923:0.212575:0.871923:0.000000
(:@0.227068:0.880503:0.208603:0.880503:0.208603:0.853887:0.227068:0.853887:0.000000
):@0.251669:0.880503:0.233204:0.880503:0.233204:0.853887:0.251669:0.853887:0.000000
⋅:@0.266841:0.877115:0.271448:0.877115:0.271448:0.860172:0.266841:0.860172:0.000000
():@0.272928:0.880503:0.303038:0.880503:0.303038:0.853887:0.272928:0.853887:0.000000:0.000000
():@0.258388:0.906641:0.288296:0.906641:0.288296:0.880025:0.258388:0.880025:0.000000:0.000000
=:@0.320201:0.888835:0.330318:0.888835:0.330318:0.871893:0.320201:0.871893:0.000000
⋅:@0.356891:0.880067:0.361497:0.880067:0.361497:0.863125:0.356891:0.863125:0.000000
=:@0.389821:0.888835:0.399938:0.888835:0.399938:0.871893:0.389821:0.871893:0.000000
=:@0.429823:0.888835:0.439940:0.888835:0.439940:0.871893:0.429823:0.871893:0.000000
=:@0.466738:0.888835:0.476854:0.888835:0.476854:0.871893:0.466738:0.871893:0.000000
−:@0.196272:0.872614:0.202135:0.872614:0.202135:0.862795:0.196272:0.862795:0.000000
−:@0.303400:0.865898:0.309263:0.865898:0.309263:0.856079:0.303400:0.856079:0.000000
−:@0.372038:0.872590:0.377901:0.872590:0.377901:0.862771:0.372038:0.862771:0.000000
−:@0.451943:0.881359:0.457806:0.881359:0.457806:0.871540:0.451943:0.871540:0.000000
Paso 1. :@0.102121:0.189150:0.157756:0.189150:0.157756:0.173572:0.102121:0.173572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dibujamos:@0.157756:0.189150:0.230311:0.189150:0.230311:0.174251:0.157756:0.174251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.403597:0.189150:0.455848:0.189150:0.455848:0.173572:0.403597:0.173572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicamos el teorema de Pitágoras :@0.459232:0.189150:0.694030:0.189150:0.694030:0.174251:0.459232:0.174251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y calculamos la diagonal.:@0.403597:0.204237:0.569275:0.204237:0.569275:0.189338:0.403597:0.189338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.406097:0.234288:0.414440:0.234288:0.414440:0.219563:0.406097:0.219563:0.000000
d:@0.406097:0.260315:0.414440:0.260315:0.414440:0.245590:0.406097:0.245590:0.000000
d:@0.480298:0.260315:0.488640:0.260315:0.488640:0.245590:0.480298:0.245590:0.000000
m:@0.570868:0.260315:0.584036:0.260315:0.584036:0.245590:0.570868:0.245590:0.000000
=:@0.418354:0.233915:0.427459:0.233915:0.427459:0.218667:0.418354:0.218667:0.000000
( ) ( ):@0.441341:0.238096:0.527340:0.238096:0.527340:0.211382:0.441341:0.211382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.483086:0.233915:0.492191:0.233915:0.492191:0.218667:0.483086:0.218667:0.000000
=:@0.418348:0.259941:0.427453:0.259941:0.427453:0.244693:0.418348:0.244693:0.000000
+:@0.451236:0.259941:0.460341:0.259941:0.460341:0.244693:0.451236:0.244693:0.000000
=:@0.492549:0.259941:0.501654:0.259941:0.501654:0.244693:0.492549:0.244693:0.000000
≈:@0.535056:0.259941:0.544161:0.259941:0.544161:0.244693:0.535056:0.244693:0.000000
5:@0.458915:0.234287:0.467008:0.234287:0.467008:0.219537:0.458915:0.219537:0.000000
5:@0.512103:0.234287:0.520196:0.234287:0.520196:0.219537:0.512103:0.219537:0.000000
55;:@0.441335:0.260314:0.474428:0.260314:0.474428:0.245564:0.441335:0.245564:0.000000:0.000000:0.000000
10 32:@0.514507:0.260314:0.567032:0.260314:0.567032:0.245564:0.514507:0.245564:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.474181:0.222973:0.478871:0.222973:0.478871:0.214424:0.474181:0.214424:0.000000
2:@0.527372:0.222973:0.532062:0.222973:0.532062:0.214424:0.527372:0.214424:0.000000
,:@0.554566:0.260314:0.557452:0.260314:0.557452:0.245564:0.554566:0.245564:0.000000
La diagonal de la ventana mide 3,2 m:@0.403601:0.287017:0.652540:0.287017:0.652540:0.272118:0.403601:0.272118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos paso a paso:@0.096362:0.116967:0.251255:0.116967:0.251255:0.101602:0.096362:0.101602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.144572:0.110585:0.144572:0.110585:0.127671:0.096359:0.127671:0.000000:0.000000
  Regresamos a nuestro problema inicial, y respondemos la pregunta: ¿Cuál es la :@0.110585:0.144572:0.716543:0.144572:0.716543:0.128183:0.110585:0.128183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medida de la diagonal si el lado mide :@0.124848:0.161168:0.402461:0.161168:0.402461:0.144779:0.124848:0.144779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 m:@0.413036:0.160027:0.438312:0.160027:0.438312:0.145942:0.413036:0.145942:0.000000:0.000000:0.000000
?:@0.438311:0.161168:0.445331:0.161168:0.445331:0.144779:0.438311:0.144779:0.000000
5:@0.252977:0.260988:0.262015:0.260988:0.262015:0.245239:0.252977:0.245239:0.000000
5:@0.171530:0.322284:0.180569:0.322284:0.180569:0.306535:0.171530:0.306535:0.000000
d:@0.164985:0.261014:0.175061:0.261014:0.175061:0.245265:0.164985:0.245265:0.000000
La ética y la integridad :@0.754293:0.152609:0.907207:0.152609:0.907207:0.137710:0.754293:0.137710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en las construcciones :@0.754293:0.167696:0.901144:0.167696:0.901144:0.152797:0.754293:0.152797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
civiles son fundamentales :@0.754293:0.182784:0.929925:0.182784:0.929925:0.167885:0.754293:0.167885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para garantizar :@0.754293:0.197872:0.857253:0.197872:0.857253:0.182972:0.754293:0.182972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la seguridad, la :@0.754293:0.212959:0.857117:0.212959:0.857117:0.198060:0.754293:0.198060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sostenibilidad y el :@0.754293:0.228047:0.877071:0.228047:0.877071:0.213148:0.754293:0.213148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bienestar de la sociedad. :@0.754293:0.243134:0.922132:0.243134:0.922132:0.228235:0.754293:0.228235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actuar con :@0.754293:0.258222:0.830901:0.258222:0.830901:0.243323:0.754293:0.243323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
responsabilidad implica :@0.754293:0.273310:0.915987:0.273310:0.915987:0.258411:0.754293:0.258411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respetar las normativas, :@0.754293:0.288397:0.914040:0.288397:0.914040:0.273498:0.754293:0.273498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilizar materiales de :@0.754293:0.303485:0.895078:0.303485:0.895078:0.288586:0.754293:0.288586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calidad y priorizar la vida :@0.754293:0.318572:0.921497:0.318572:0.921497:0.303673:0.754293:0.303673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
humana por encima del :@0.754293:0.333660:0.918047:0.333660:0.918047:0.318761:0.754293:0.318761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
beneficio económico. :@0.754293:0.348748:0.902499:0.348748:0.902499:0.333849:0.754293:0.333849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un profesional íntegro :@0.754293:0.363835:0.907073:0.363835:0.907073:0.348936:0.754293:0.348936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no solo construye obras, :@0.754293:0.378923:0.920173:0.378923:0.920173:0.364024:0.754293:0.364024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sino también confianza :@0.754293:0.394010:0.913491:0.394010:0.913491:0.379111:0.754293:0.379111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en su comunidad, :@0.754293:0.409098:0.877589:0.409098:0.877589:0.394199:0.754293:0.394199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
demostrando :@0.754293:0.424186:0.848810:0.424186:0.848810:0.409287:0.754293:0.409287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compromiso con la :@0.754293:0.439273:0.887223:0.439273:0.887223:0.424374:0.754293:0.424374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verdad, la justicia y el :@0.754293:0.454361:0.897727:0.454361:0.897727:0.439462:0.754293:0.439462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desarrollo responsable.:@0.754293:0.469449:0.907590:0.469449:0.907590:0.454550:0.754293:0.454550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   Ética e integridad:@0.769375:0.120167:0.912226:0.120167:0.912226:0.103266:0.769375:0.103266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.947704:0.524948:0.947704:0.482123:0.935793:0.482123:0.935793:0.524948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dado un binomio :@0.754293:0.705029:0.876418:0.705029:0.876418:0.690130:0.754293:0.690130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la forma :@0.754293:0.720117:0.833128:0.720117:0.833128:0.705218:0.754293:0.705218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.869033:0.719646:0.878188:0.719646:0.878188:0.705544:0.869033:0.705544:0.000000
a +:@0.833127:0.719646:0.854173:0.719646:0.854173:0.705544:0.833127:0.705544:0.000000:0.000000:0.000000
su conjugado es :@0.754293:0.738769:0.867405:0.738769:0.867405:0.723870:0.754293:0.723870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.903309:0.738298:0.912463:0.738298:0.912463:0.724196:0.903309:0.724196:0.000000
a −:@0.867402:0.738298:0.888448:0.738298:0.888448:0.724196:0.867402:0.724196:0.000000:0.000000:0.000000
y viceversa.:@0.754293:0.753856:0.829360:0.753856:0.829360:0.738957:0.754293:0.738957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.775158:0.672587:0.882699:0.672587:0.882699:0.655686:0.775158:0.655686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000