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¿Cómo vas a descomponer esta ab^1/4+a^1/4b/(ab)^1/4 expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src]
          4 ___  
  4 ___   \/ a *b
a*\/ b  + -------
          4 _____
          \/ a*b 
$$a \sqrt[4]{b} + \frac{\sqrt[4]{a} b}{\sqrt[4]{a b}}$$
a*b^(1/4) + (a^(1/4)*b)/(a*b)^(1/4)
Simplificación general [src]
            4 ___
  4 ___   b*\/ a 
a*\/ b  + -------
          4 _____
          \/ a*b 
$$\frac{\sqrt[4]{a} b}{\sqrt[4]{a b}} + a \sqrt[4]{b}$$
a*b^(1/4) + b*a^(1/4)/(a*b)^(1/4)
Respuesta numérica [src]
a*b^0.25 + b*a^0.25*(a*b)^(-0.25)
a*b^0.25 + b*a^0.25*(a*b)^(-0.25)
Denominador racional [src]
  4 ___     4 ___ 4 _____
b*\/ a  + a*\/ b *\/ a*b 
-------------------------
         4 _____         
         \/ a*b          
$$\frac{\sqrt[4]{a} b + a \sqrt[4]{b} \sqrt[4]{a b}}{\sqrt[4]{a b}}$$
(b*a^(1/4) + a*b^(1/4)*(a*b)^(1/4))/(a*b)^(1/4)
Abrimos la expresión [src]
 3/4     4 ___
b    + a*\/ b 
$$a \sqrt[4]{b} + b^{\frac{3}{4}}$$
b^(3/4) + a*b^(1/4)
Combinatoria [src]
  4 ___     4 ___ 4 _____
b*\/ a  + a*\/ b *\/ a*b 
-------------------------
         4 _____         
         \/ a*b          
$$\frac{\sqrt[4]{a} b + a \sqrt[4]{b} \sqrt[4]{a b}}{\sqrt[4]{a b}}$$
(b*a^(1/4) + a*b^(1/4)*(a*b)^(1/4))/(a*b)^(1/4)
Parte trigonométrica [src]
            4 ___
  4 ___   b*\/ a 
a*\/ b  + -------
          4 _____
          \/ a*b 
$$\frac{\sqrt[4]{a} b}{\sqrt[4]{a b}} + a \sqrt[4]{b}$$
a*b^(1/4) + b*a^(1/4)/(a*b)^(1/4)
Unión de expresiones racionales [src]
  4 ___     4 ___ 4 _____
b*\/ a  + a*\/ b *\/ a*b 
-------------------------
         4 _____         
         \/ a*b          
$$\frac{\sqrt[4]{a} b + a \sqrt[4]{b} \sqrt[4]{a b}}{\sqrt[4]{a b}}$$
(b*a^(1/4) + a*b^(1/4)*(a*b)^(1/4))/(a*b)^(1/4)
Potencias [src]
            4 ___
  4 ___   b*\/ a 
a*\/ b  + -------
          4 _____
          \/ a*b 
$$\frac{\sqrt[4]{a} b}{\sqrt[4]{a b}} + a \sqrt[4]{b}$$
a*b^(1/4) + b*a^(1/4)/(a*b)^(1/4)
Compilar la expresión [src]
            4 ___
  4 ___   b*\/ a 
a*\/ b  + -------
          4 _____
          \/ a*b 
$$\frac{\sqrt[4]{a} b}{\sqrt[4]{a b}} + a \sqrt[4]{b}$$
a*b^(1/4) + b*a^(1/4)/(a*b)^(1/4)
Denominador común [src]
            4 ___
  4 ___   b*\/ a 
a*\/ b  + -------
          4 _____
          \/ a*b 
$$\frac{\sqrt[4]{a} b}{\sqrt[4]{a b}} + a \sqrt[4]{b}$$
a*b^(1/4) + b*a^(1/4)/(a*b)^(1/4)