36:@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
Competencia :@0.078581:0.144831:0.187141:0.144831:0.187141:0.127884:0.078581:0.127884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.161472:0.176057:0.161472:0.176057:0.144526:0.078581:0.144526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.078581:0.488387:0.187141:0.488387:0.187141:0.471440:0.078581:0.471440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.505029:0.176057:0.505029:0.176057:0.488082:0.078581:0.488082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de la adición :@0.078581:0.182996:0.251731:0.182996:0.251731:0.168056:0.078581:0.168056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de números reales :@0.078581:0.198125:0.203653:0.198125:0.203653:0.183185:0.078581:0.183185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Clausurativa:@0.120030:0.217364:0.218076:0.217364:0.218076:0.200417:0.120030:0.200417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si  ,  ,   :@0.085660:0.233162:0.131233:0.233162:0.131233:0.219716:0.085660:0.219716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.097768:0.233162:0.128371:0.233162:0.128371:0.219739:0.097768:0.219739:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.130796:0.233049:0.143341:0.233049:0.143341:0.221555:0.130796:0.221555:0.000000
 :@0.153648:0.233162:0.156946:0.233162:0.156946:0.219716:0.153648:0.219716:0.000000
 :@0.169814:0.233162:0.173007:0.233162:0.173007:0.219523:0.169814:0.219523:0.000000
a b:@0.172567:0.233162:0.199375:0.233162:0.199375:0.219739:0.172567:0.219739:0.000000:0.000000:0.000000
1 5:@0.179706:0.232708:0.214345:0.232708:0.214345:0.221486:0.179706:0.221486:0.000000:0.000000:0.000000
     :@0.198938:0.233162:0.225881:0.233162:0.225881:0.219716:0.198938:0.219716:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.216755:0.233162:0.223020:0.233162:0.223020:0.219739:0.216755:0.219739:0.000000
[:@0.225445:0.233049:0.237990:0.233049:0.237990:0.221555:0.225445:0.221555:0.000000
Conmutativa:@0.117930:0.252112:0.220177:0.252112:0.220177:0.235166:0.117930:0.235166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si  ,   :@0.085660:0.267911:0.123010:0.267911:0.123010:0.254465:0.085660:0.254465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.098898:0.267911:0.119772:0.267911:0.119772:0.254488:0.098898:0.254488:0.000000:0.000000:0.000000
[:@0.122950:0.267797:0.135495:0.267797:0.135495:0.256303:0.122950:0.256303:0.000000
   :@0.146544:0.267911:0.166762:0.267911:0.166762:0.254465:0.146544:0.254465:0.000000:0.000000:0.000000
a b:@0.166697:0.267911:0.194258:0.267911:0.194258:0.254488:0.166697:0.254488:0.000000:0.000000:0.000000
1 5 1:@0.174212:0.267457:0.236442:0.267457:0.236442:0.256235:0.174212:0.256235:0.000000:0.000000:0.000000:0.000000:0.000000
       :@0.194197:0.267911:0.239665:0.267911:0.239665:0.254465:0.194197:0.254465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.213143:0.267911:0.220719:0.267911:0.220719:0.254488:0.213143:0.254488:0.000000
a:@0.239605:0.267911:0.247180:0.267911:0.247180:0.254488:0.239605:0.254488:0.000000
Asociativa:@0.128550:0.286861:0.209553:0.286861:0.209553:0.269914:0.128550:0.269914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si  ,  ,   :@0.085660:0.299629:0.131233:0.299629:0.131233:0.286183:0.085660:0.286183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.097768:0.299629:0.128371:0.299629:0.128371:0.286206:0.097768:0.286206:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.130796:0.299515:0.143341:0.299515:0.143341:0.288021:0.130796:0.288021:0.000000
 :@0.154401:0.299629:0.157699:0.299629:0.157699:0.286183:0.154401:0.286183:0.000000
(:@0.085660:0.313245:0.089651:0.313245:0.089651:0.299799:0.085660:0.299799:0.000000
a b c a:@0.089208:0.313245:0.158170:0.313245:0.158170:0.299822:0.089208:0.299822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.096347:0.312791:0.108892:0.312791:0.108892:0.301569:0.096347:0.301569:0.000000
)+   = :@0.115579:0.313245:0.151047:0.313245:0.151047:0.299799:0.115579:0.299799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 1 :@0.157733:0.312791:0.199240:0.312791:0.199240:0.301569:0.157733:0.301569:0.000000:0.000000:0.000000:0.000000
(  :@0.169827:0.313245:0.183818:0.313245:0.183818:0.299799:0.169827:0.299799:0.000000:0.000000:0.000000
b:@0.173381:0.313245:0.180957:0.313245:0.180957:0.299822:0.173381:0.299822:0.000000
c:@0.198788:0.313245:0.205053:0.313245:0.205053:0.299822:0.198788:0.299822:0.000000
):@0.204617:0.313245:0.208608:0.313245:0.208608:0.299799:0.204617:0.299799:0.000000
Modulativa:@0.124086:0.329164:0.214017:0.329164:0.214017:0.312217:0.124086:0.312217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.105425:0.344964:0.113001:0.344964:0.113001:0.331541:0.105425:0.331541:0.000000
, 0 :@0.112941:0.344964:0.129326:0.344964:0.129326:0.331518:0.112941:0.331518:0.000000:0.000000:0.000000:0.000000
[:@0.129236:0.344850:0.141781:0.344850:0.141781:0.333356:0.129236:0.333356:0.000000
   :@0.152836:0.344964:0.173054:0.344964:0.173054:0.331518:0.152836:0.331518:0.000000:0.000000:0.000000
a :@0.172989:0.344964:0.183215:0.344964:0.183215:0.331541:0.172989:0.331541:0.000000:0.000000
1 5:@0.183170:0.344510:0.221935:0.344510:0.221935:0.333288:0.183170:0.333288:0.000000:0.000000:0.000000
 0   :@0.195640:0.344964:0.225158:0.344964:0.225158:0.331518:0.195640:0.331518:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.225098:0.344964:0.232674:0.344964:0.232674:0.331541:0.225098:0.331541:0.000000
Cancelativa:@0.123489:0.363914:0.214613:0.363914:0.214613:0.346967:0.123489:0.346967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.088618:0.379712:0.096193:0.379712:0.096193:0.366289:0.088618:0.366289:0.000000
, :@0.096133:0.379712:0.101991:0.379712:0.101991:0.366267:0.096133:0.366267:0.000000:0.000000
2:@0.101916:0.379259:0.114461:0.379259:0.114461:0.368037:0.101916:0.368037:0.000000
a:@0.114386:0.379712:0.121962:0.379712:0.121962:0.366289:0.114386:0.366289:0.000000
 :@0.121901:0.379712:0.125200:0.379712:0.125200:0.366267:0.121901:0.366267:0.000000
[:@0.125139:0.379599:0.137685:0.379599:0.137685:0.368105:0.125139:0.368105:0.000000
       (:@0.148736:0.379712:0.199341:0.379712:0.199341:0.366267:0.148736:0.366267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.168889:0.379712:0.176464:0.379712:0.176464:0.366289:0.168889:0.366289:0.000000
1 2 5:@0.179642:0.379259:0.238950:0.379259:0.238950:0.368037:0.179642:0.368037:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.211736:0.379712:0.219312:0.379712:0.219312:0.366289:0.211736:0.366289:0.000000
)   0:@0.219251:0.379712:0.249463:0.379712:0.249463:0.366267:0.219251:0.366267:0.000000:0.000000:0.000000:0.000000:0.000000
La suma de dos números :@0.078581:0.526550:0.248055:0.526550:0.248055:0.511610:0.078581:0.511610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
irracionales no siempre es :@0.078581:0.541679:0.252867:0.541679:0.252867:0.526739:0.078581:0.526739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un número irracional; por :@0.078581:0.556808:0.249855:0.556808:0.249855:0.541868:0.078581:0.541868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo: :@0.078581:0.571937:0.139894:0.571937:0.139894:0.556997:0.078581:0.556997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  3  (   3)  0.:@0.078581:0.587066:0.179843:0.587066:0.179843:0.572126:0.078581:0.572126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 2:@0.098558:0.586562:0.130721:0.586562:0.130721:0.574093:0.098558:0.574093:0.000000:0.000000:0.000000
5:@0.151379:0.586562:0.165318:0.586562:0.165318:0.574093:0.151379:0.574093:0.000000
La suma de un número :@0.078586:0.602195:0.235560:0.602195:0.235560:0.587255:0.078586:0.587255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racional y un irracional :@0.078586:0.617324:0.230490:0.617324:0.230490:0.602384:0.078586:0.602384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siempre es un número :@0.078586:0.632453:0.231171:0.632453:0.231171:0.617513:0.078586:0.617513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
irracional.:@0.078586:0.647582:0.141695:0.647582:0.141695:0.632642:0.078586:0.632642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.293660:0.136836:0.369443:0.136836:0.369443:0.120167:0.293660:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresa en forma exacta la cantidad de caucho que necesita el participante para las :@0.293660:0.169565:0.930993:0.169565:0.930993:0.153131:0.293660:0.153131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llantas de su coche.:@0.293660:0.186207:0.434892:0.186207:0.434892:0.169773:0.293660:0.169773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.293660:0.218936:0.359794:0.218936:0.359794:0.202266:0.293660:0.202266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Debemos calcular los perímetros en forma exacta. Esto es::@0.293660:0.251665:0.713055:0.251665:0.713055:0.235231:0.293660:0.235231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.293660:0.284374:0.297691:0.284374:0.297691:0.267940:0.293660:0.267940:0.000000
Rueda pequeña :@0.353907:0.284374:0.473444:0.284374:0.473444:0.267940:0.353907:0.267940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.610285:0.284374:0.614316:0.284374:0.614316:0.267940:0.610285:0.267940:0.000000
Rueda grande:@0.670532:0.284374:0.772582:0.284374:0.772582:0.267940:0.670532:0.267940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.350925:0.317098:0.360092:0.317098:0.360092:0.300664:0.350925:0.300664:0.000000
5  p 3 :@0.364036:0.316543:0.429235:0.316543:0.429235:0.302827:0.364036:0.302827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.383787:0.317098:0.392770:0.317098:0.392770:0.300664:0.383787:0.300664:0.000000
10 cm :@0.429136:0.317098:0.478081:0.317098:0.478081:0.300664:0.429136:0.300664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P :@0.660460:0.317098:0.673658:0.317098:0.673658:0.300664:0.660460:0.300664:0.000000:0.000000
5  p 3 :@0.673572:0.316543:0.738771:0.316543:0.738771:0.302827:0.673572:0.302827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.693323:0.317098:0.702306:0.317098:0.702306:0.300664:0.693323:0.300664:0.000000
12 cm:@0.738679:0.317098:0.783666:0.317098:0.783666:0.300664:0.738679:0.300664:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.367234:0.349821:0.376401:0.349821:0.376401:0.333388:0.367234:0.333388:0.000000
5  p :@0.380338:0.349267:0.434676:0.349267:0.434676:0.335551:0.380338:0.335551:0.000000:0.000000:0.000000:0.000000:0.000000
20 cm:@0.400089:0.349821:0.457801:0.349821:0.457801:0.333388:0.400089:0.333388:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.690597:0.349821:0.699764:0.349821:0.699764:0.333388:0.690597:0.333388:0.000000
5  p:@0.703685:0.349267:0.753513:0.349267:0.753513:0.335551:0.703685:0.335551:0.000000:0.000000:0.000000:0.000000
24:@0.723436:0.349821:0.741328:0.349821:0.741328:0.333388:0.723436:0.333388:0.000000:0.000000
Luego sumamos el perímetro de las cuatro ruedas::@0.293663:0.382550:0.660364:0.382550:0.660364:0.366117:0.293663:0.366117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L    20  (cm)   20  (cm)   24  (cm)   24  (cm) :@0.353907:0.415268:0.735698:0.415268:0.735698:0.398834:0.353907:0.398834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
total:@0.361884:0.418440:0.380703:0.418440:0.380703:0.408859:0.361884:0.408859:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.384309:0.414713:0.399642:0.414713:0.399642:0.400998:0.384309:0.400998:0.000000
p:@0.420571:0.414713:0.432849:0.414713:0.432849:0.400998:0.420571:0.400998:0.000000
1:@0.472020:0.414713:0.487353:0.414713:0.487353:0.400998:0.472020:0.400998:0.000000
p:@0.508282:0.414713:0.520560:0.414713:0.520560:0.400998:0.508282:0.400998:0.000000
1:@0.559730:0.414713:0.575064:0.414713:0.575064:0.400998:0.559730:0.400998:0.000000
p:@0.595993:0.414713:0.608270:0.414713:0.608270:0.400998:0.595993:0.400998:0.000000
1:@0.647441:0.414713:0.662774:0.414713:0.662774:0.400998:0.647441:0.400998:0.000000
p:@0.683703:0.414713:0.695981:0.414713:0.695981:0.400998:0.683703:0.400998:0.000000
L    88 cm:@0.353907:0.447992:0.459926:0.447992:0.459926:0.431558:0.353907:0.431558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
total:@0.361884:0.451164:0.380703:0.451164:0.380703:0.441583:0.361884:0.441583:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.384309:0.447437:0.399642:0.447437:0.399642:0.433721:0.384309:0.433721:0.000000
p :@0.420571:0.447437:0.437175:0.447437:0.437175:0.433721:0.420571:0.433721:0.000000:0.000000
Sin embargo, esta respuesta para los fines indicados no resulta práctica. Por ello, se debe :@0.293672:0.480721:0.931450:0.480721:0.931450:0.464287:0.293672:0.464287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
redondear el número irracional y obtener un valor que sea comprensible comercialmente.:@0.293672:0.497363:0.926983:0.497363:0.926983:0.480929:0.293672:0.480929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando los números irracionales que se suman o restan están expresados en radicales, :@0.301224:0.532570:0.923424:0.532570:0.923424:0.516136:0.301224:0.516136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es necesario observar si son semejantes.:@0.301224:0.549212:0.584854:0.549212:0.584854:0.532778:0.301224:0.532778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un radical es semejante a otro cuando el índice de la raíz y su radicando son iguales. A fin :@0.301224:0.576574:0.923301:0.576574:0.923301:0.560140:0.301224:0.560140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de conseguir radicales semejantes, se descomponen los radicandos en sus factores :@0.301224:0.593216:0.923247:0.593216:0.923247:0.576782:0.301224:0.576782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
primos para extraer factores de la raíz, de acuerdo con las propiedades de la radicación. :@0.301224:0.609858:0.923893:0.609858:0.923893:0.593424:0.301224:0.593424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para sumar o restar radicales semejantes, se suman o restan los coeficientes.:@0.301224:0.626499:0.834637:0.626499:0.834637:0.610066:0.301224:0.610066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 4:@0.293658:0.665150:0.369441:0.665150:0.369441:0.648481:0.293658:0.648481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Efectúar:    32       50   0,75     72 :@0.293658:0.702303:0.578822:0.702309:0.578822:0.685876:0.293658:0.685869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.360201:0.701748:0.375534:0.701748:0.375534:0.688033:0.360201:0.688033:0.000000
1:@0.406324:0.701755:0.421657:0.701755:0.421657:0.688039:0.406324:0.688039:0.000000
1:@0.428739:0.696200:0.437722:0.696200:0.437722:0.679766:0.428739:0.679766:0.000000
2:@0.428739:0.710179:0.437722:0.710179:0.437722:0.693745:0.428739:0.693745:0.000000
2:@0.475691:0.701755:0.491024:0.701755:0.491024:0.688039:0.475691:0.688039:0.000000
1:@0.528667:0.701755:0.544000:0.701755:0.544000:0.688039:0.528667:0.688039:0.000000
5:@0.578732:0.701755:0.594065:0.701755:0.594065:0.688039:0.578732:0.688039:0.000000
Solución:@0.293658:0.735038:0.359792:0.735038:0.359792:0.718369:0.293658:0.718369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.293658:0.767213:0.308992:0.767213:0.308992:0.753497:0.293658:0.753497:0.000000
  2    2   0,5     5    2   0,75     6    2 :@0.308901:0.767757:0.622056:0.767757:0.622056:0.751323:0.308901:0.751323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.326925:0.761693:0.332162:0.761693:0.332162:0.752112:0.326925:0.752112:0.000000
3 1:@0.336074:0.767202:0.383454:0.767202:0.383454:0.753487:0.336074:0.753487:0.000000:0.000000:0.000000
1:@0.412188:0.767202:0.427521:0.767202:0.427521:0.753487:0.412188:0.753487:0.000000
2:@0.449397:0.761693:0.454634:0.761693:0.454634:0.752112:0.449397:0.752112:0.000000
3 2:@0.458544:0.767202:0.505924:0.767202:0.505924:0.753487:0.458544:0.753487:0.000000:0.000000:0.000000
1:@0.543567:0.767202:0.558900:0.767202:0.558900:0.753487:0.543567:0.753487:0.000000
2:@0.580770:0.761693:0.586007:0.761693:0.586007:0.752112:0.580770:0.752112:0.000000
3 5:@0.589917:0.767202:0.637297:0.767202:0.637297:0.753487:0.589917:0.753487:0.000000:0.000000:0.000000
2:@0.293670:0.799931:0.309003:0.799931:0.309003:0.786216:0.293670:0.786216:0.000000
2    2   0,5   5  2   0,75   6  2 :@0.308911:0.800486:0.546186:0.800481:0.546186:0.784047:0.308911:0.784052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.317804:0.794417:0.323041:0.794417:0.323041:0.784836:0.317804:0.784836:0.000000
1:@0.348919:0.799926:0.364252:0.799926:0.364252:0.786211:0.348919:0.786211:0.000000
1:@0.392986:0.799926:0.408319:0.799926:0.408319:0.786211:0.392986:0.786211:0.000000
2:@0.443058:0.799926:0.458392:0.799926:0.458392:0.786211:0.443058:0.786211:0.000000
1:@0.496034:0.799926:0.511368:0.799926:0.511368:0.786211:0.496034:0.786211:0.000000
5:@0.546094:0.799926:0.561427:0.799926:0.561427:0.786211:0.546094:0.786211:0.000000
( 4   2   5   2   6   2)   (0,5   0,75) :@0.293657:0.833210:0.568126:0.833205:0.568126:0.816771:0.293657:0.816776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.298461:0.832655:0.313794:0.832655:0.313794:0.818940:0.298461:0.818940:0.000000
1:@0.348527:0.832650:0.363860:0.832650:0.363860:0.818935:0.348527:0.818935:0.000000
1:@0.402547:0.832650:0.417881:0.832650:0.417881:0.818935:0.402547:0.818935:0.000000
1:@0.461364:0.832650:0.476697:0.832650:0.476697:0.818935:0.461364:0.818935:0.000000
2:@0.510235:0.832650:0.525568:0.832650:0.525568:0.818935:0.510235:0.818935:0.000000
5:@0.567997:0.832650:0.583330:0.832650:0.583330:0.818935:0.567997:0.818935:0.000000
7   2   0,25 (valor exacto):@0.293660:0.865929:0.479077:0.865929:0.479077:0.849495:0.293660:0.849495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.328483:0.865374:0.343817:0.865374:0.343817:0.851658:0.328483:0.851658:0.000000
5:@0.293657:0.898103:0.308990:0.898103:0.308990:0.884387:0.293657:0.884387:0.000000
 9,65 (valor redondeado a las centésimas):@0.308898:0.898658:0.606770:0.898658:0.606770:0.882224:0.308898:0.882224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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