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Simplificación de expresiones/ Descomposición en fracciones simples/ sqrt((42,58^2*1+42,58^2*2+42,58^2*3+42,58^2*4+42,58^2*5+42,58^2*6+42,58^2*7+42,58^2*8+42,58^2*9+42,58^2*10+42,58^2*11+42,58^2*12+42,58^2*13+42,58^2*14+42,58^2*15+42,58^2*16+42,58^2*17+42,58^2*18+42,58^2*19+42,58^2*20+42,58^2*21+42,58^2*22+42,58^2*23+42,58^2*24)/(1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24))

¿Cómo vas a descomponer esta sqrt((42,58^2*1+42,58^2*2+42,58^2*3+42,58^2*4+42,58^2*5+42,58^2*6+42,58^2*7+42,58^2*8+42,58^2*9+42,58^2*10+42,58^2*11+42,58^2*12+42,58^2*13+42,58^2*14+42,58^2*15+42,58^2*16+42,58^2*17+42,58^2*18+42,58^2*19+42,58^2*20+42,58^2*21+42,58^2*22+42,58^2*23+42,58^2*24)/(1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24)) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src] 
       ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
      /       2         2           2           2           2           2           2           2           2           2            2            2            2            2            2            2            2            2            2            2            2            2            2            2    
     /  /2129\    /2129\      /2129\      /2129\      /2129\      /2129\      /2129\      /2129\      /2129\      /2129\       /2129\       /2129\       /2129\       /2129\       /2129\       /2129\       /2129\       /2129\       /2129\       /2129\       /2129\       /2129\       /2129\       /2129\     
    /   |----|  + |----| *2 + |----| *3 + |----| *4 + |----| *5 + |----| *6 + |----| *7 + |----| *8 + |----| *9 + |----| *10 + |----| *11 + |----| *12 + |----| *13 + |----| *14 + |----| *15 + |----| *16 + |----| *17 + |----| *18 + |----| *19 + |----| *20 + |----| *21 + |----| *22 + |----| *23 + |----| *24 
   /    \ 50 /    \ 50 /      \ 50 /      \ 50 /      \ 50 /      \ 50 /      \ 50 /      \ 50 /      \ 50 /      \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /     
  /     ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 
\/                                                                                                                                                         300
$$\sqrt{\frac{24 \left(\frac{2129}{50}\right)^{2} + \left(23 \left(\frac{2129}{50}\right)^{2} + \left(22 \left(\frac{2129}{50}\right)^{2} + \left(21 \left(\frac{2129}{50}\right)^{2} + \left(20 \left(\frac{2129}{50}\right)^{2} + \left(19 \left(\frac{2129}{50}\right)^{2} + \left(18 \left(\frac{2129}{50}\right)^{2} + \left(17 \left(\frac{2129}{50}\right)^{2} + \left(16 \left(\frac{2129}{50}\right)^{2} + \left(15 \left(\frac{2129}{50}\right)^{2} + \left(14 \left(\frac{2129}{50}\right)^{2} + \left(13 \left(\frac{2129}{50}\right)^{2} + \left(12 \left(\frac{2129}{50}\right)^{2} + \left(11 \left(\frac{2129}{50}\right)^{2} + \left(10 \left(\frac{2129}{50}\right)^{2} + \left(9 \left(\frac{2129}{50}\right)^{2} + \left(8 \left(\frac{2129}{50}\right)^{2} + \left(7 \left(\frac{2129}{50}\right)^{2} + \left(6 \left(\frac{2129}{50}\right)^{2} + \left(5 \left(\frac{2129}{50}\right)^{2} + \left(4 \left(\frac{2129}{50}\right)^{2} + \left(\left(\left(\frac{2129}{50}\right)^{2} + 2 \left(\frac{2129}{50}\right)^{2}\right) + 3 \left(\frac{2129}{50}\right)^{2}\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)}{300}}$$ 
sqrt(((2129/50)^2 + (2129/50)^2*2 + (2129/50)^2*3 + (2129/50)^2*4 + (2129/50)^2*5 + (2129/50)^2*6 + (2129/50)^2*7 + (2129/50)^2*8 + (2129/50)^2*9 + (2129/50)^2*10 + (2129/50)^2*11 + (2129/50)^2*12 + (2129/50)^2*13 + (2129/50)^2*14 + (2129/50)^2*15 + (2129/50)^2*16 + (2129/50)^2*17 + (2129/50)^2*18 + (2129/50)^2*19 + (2129/50)^2*20 + (2129/50)^2*21 + (2129/50)^2*22 + (2129/50)^2*23 + (2129/50)^2*24)/300)
Simplificación general [src] 
2129
----
 50
$$\frac{2129}{50}$$ 
2129/50
Respuesta numérica [src] 
42.5800000000000
42.5800000000000
Denominador racional [src] 
2129
----
 50
$$\frac{2129}{50}$$ 
2129/50
Denominador común [src] 
2129
----
 50
$$\frac{2129}{50}$$ 
2129/50
Potencias [src] 
2129
----
 50
$$\frac{2129}{50}$$ 
2129/50
Parte trigonométrica [src] 
2129
----
 50
$$\frac{2129}{50}$$ 
2129/50
Combinatoria [src] 
2129
----
 50
$$\frac{2129}{50}$$ 
2129/50
Unión de expresiones racionales [src] 
2129
----
 50
$$\frac{2129}{50}$$ 
2129/50
Abrimos la expresión [src] 
           ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
          /       2         2           2           2           2           2           2           2           2           2            2            2            2            2            2            2            2            2            2            2            2            2            2            2    
  ___    /  /2129\    /2129\      /2129\      /2129\      /2129\      /2129\      /2129\      /2129\      /2129\      /2129\       /2129\       /2129\       /2129\       /2129\       /2129\       /2129\       /2129\       /2129\       /2129\       /2129\       /2129\       /2129\       /2129\       /2129\     
\/ 3 *  /   |----|  + |----| *2 + |----| *3 + |----| *4 + |----| *5 + |----| *6 + |----| *7 + |----| *8 + |----| *9 + |----| *10 + |----| *11 + |----| *12 + |----| *13 + |----| *14 + |----| *15 + |----| *16 + |----| *17 + |----| *18 + |----| *19 + |----| *20 + |----| *21 + |----| *22 + |----| *23 + |----| *24 
      \/    \ 50 /    \ 50 /      \ 50 /      \ 50 /      \ 50 /      \ 50 /      \ 50 /      \ 50 /      \ 50 /      \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /       \ 50 /     
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                           30
$$\frac{\sqrt{3} \sqrt{24 \left(\frac{2129}{50}\right)^{2} + \left(23 \left(\frac{2129}{50}\right)^{2} + \left(22 \left(\frac{2129}{50}\right)^{2} + \left(21 \left(\frac{2129}{50}\right)^{2} + \left(20 \left(\frac{2129}{50}\right)^{2} + \left(19 \left(\frac{2129}{50}\right)^{2} + \left(18 \left(\frac{2129}{50}\right)^{2} + \left(17 \left(\frac{2129}{50}\right)^{2} + \left(16 \left(\frac{2129}{50}\right)^{2} + \left(15 \left(\frac{2129}{50}\right)^{2} + \left(14 \left(\frac{2129}{50}\right)^{2} + \left(13 \left(\frac{2129}{50}\right)^{2} + \left(12 \left(\frac{2129}{50}\right)^{2} + \left(11 \left(\frac{2129}{50}\right)^{2} + \left(10 \left(\frac{2129}{50}\right)^{2} + \left(9 \left(\frac{2129}{50}\right)^{2} + \left(8 \left(\frac{2129}{50}\right)^{2} + \left(7 \left(\frac{2129}{50}\right)^{2} + \left(6 \left(\frac{2129}{50}\right)^{2} + \left(5 \left(\frac{2129}{50}\right)^{2} + \left(4 \left(\frac{2129}{50}\right)^{2} + \left(\left(\left(\frac{2129}{50}\right)^{2} + 2 \left(\frac{2129}{50}\right)^{2}\right) + 3 \left(\frac{2129}{50}\right)^{2}\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)}}{30}$$ 
sqrt(3)*sqrt((2129/50)^2 + (2129/50)^2*2 + (2129/50)^2*3 + (2129/50)^2*4 + (2129/50)^2*5 + (2129/50)^2*6 + (2129/50)^2*7 + (2129/50)^2*8 + (2129/50)^2*9 + (2129/50)^2*10 + (2129/50)^2*11 + (2129/50)^2*12 + (2129/50)^2*13 + (2129/50)^2*14 + (2129/50)^2*15 + (2129/50)^2*16 + (2129/50)^2*17 + (2129/50)^2*18 + (2129/50)^2*19 + (2129/50)^2*20 + (2129/50)^2*21 + (2129/50)^2*22 + (2129/50)^2*23 + (2129/50)^2*24)/30
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