Sr Examen
Simplificación de expresiones/
Descomposición en fracciones simples/
sqrt((sqrt(x)+4)^2-16*sqrt(x))/((x)^(1/(4)))-4/((x)^(1/(4)))
¿Cómo vas a descomponer esta sqrt((sqrt(x)+4)^2-16*sqrt(x))/((x)^(1/(4)))-4/((x)^(1/(4))) expresión en fracciones?
Solución
Ha introducido
[src]
_________________________
/ 2
/ / ___ \ ___
\/ \\/ x + 4/ - 16*\/ x 4
----------------------------- - -----
0.25 0.25
x x
$$\frac{\sqrt{- 16 \sqrt{x} + \left(\sqrt{x} + 4\right)^{2}}}{x^{0.25}} - \frac{4}{x^{0.25}}$$
sqrt((sqrt(x) + 4)^2 - 16*sqrt(x))/x^0.25 - 4*x^(-0.25)
Simplificación general
[src]
/ __________________\ -0.25 | / ___ | x *\-4 + \/ 16 + x - 8*\/ x /
$$\frac{\sqrt{- 8 \sqrt{x} + x + 16} - 4}{x^{0.25}}$$
x^(-0.25)*(-4 + sqrt(16 + x - 8*sqrt(x)))
Respuesta numérica
[src]
-4.0*x^(-0.25) + 4.0*x^(-0.25)*((1 + 0.25*x^0.5)^2 - x^0.5)^0.5
-4.0*x^(-0.25) + 4.0*x^(-0.25)*((1 + 0.25*x^0.5)^2 - x^0.5)^0.5
Unión de expresiones racionales
[src]
/ _________________________\
| / 2 |
-0.25 | / / ___\ ___ |
x *\-4 + \/ \4 + \/ x / - 16*\/ x /
$$\frac{\sqrt{- 16 \sqrt{x} + \left(\sqrt{x} + 4\right)^{2}} - 4}{x^{0.25}}$$
x^(-0.25)*(-4 + sqrt((4 + sqrt(x))^2 - 16*sqrt(x)))
Combinatoria
[src]
/ __________________\ -0.25 | / ___ | x *\-4 + \/ 16 + x - 8*\/ x /
$$\frac{\sqrt{- 8 \sqrt{x} + x + 16} - 4}{x^{0.25}}$$
x^(-0.25)*(-4 + sqrt(16 + x - 8*sqrt(x)))
Denominador común
[src]
/ __________________\ -0.25 | / ___ | x *\-4 + \/ 16 + x - 8*\/ x /
$$\frac{\sqrt{- 8 \sqrt{x} + x + 16} - 4}{x^{0.25}}$$
x^(-0.25)*(-4 + sqrt(16 + x - 8*sqrt(x)))
Denominador racional
[src]
/ _________________________\
| / 2 |
-0.25 | / / ___\ ___ |
x *\-4 + \/ \4 + \/ x / - 16*\/ x /
$$\frac{\sqrt{- 16 \sqrt{x} + \left(\sqrt{x} + 4\right)^{2}} - 4}{x^{0.25}}$$
x^(-0.25)*(-4 + sqrt((4 + sqrt(x))^2 - 16*sqrt(x)))