Simplificación general
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_______________
/ ________
/ / 2 /5 2\
\/ x*\/ 5 - x *|- - x |
\2 /
----------------------------
/ 2\
x*\5 - x /
$$\frac{\sqrt{x \sqrt{5 - x^{2}}} \left(\frac{5}{2} - x^{2}\right)}{x \left(5 - x^{2}\right)}$$
sqrt(x*sqrt(5 - x^2))*(5/2 - x^2)/(x*(5 - x^2))
_______________ _______________
/ ________ / ________
/ / 2 2 / / 2
- 5*\/ x*\/ 5 - x + 2*x *\/ x*\/ 5 - x
--------------------------------------------------
3
-10*x + 2*x
$$\frac{2 x^{2} \sqrt{x \sqrt{5 - x^{2}}} - 5 \sqrt{x \sqrt{5 - x^{2}}}}{2 x^{3} - 10 x}$$
(-5*sqrt(x*sqrt(5 - x^2)) + 2*x^2*sqrt(x*sqrt(5 - x^2)))/(-10*x + 2*x^3)
0.668740304976422*(x*(1 - 0.2*x^2)^0.5)^0.5*(1 - 0.2*x^2)^(-0.5)*(1.11803398874989*(1 - 0.2*x^2)^0.5 - 0.223606797749979*x^2*(1 - 0.2*x^2)^(-0.5))/x
0.668740304976422*(x*(1 - 0.2*x^2)^0.5)^0.5*(1 - 0.2*x^2)^(-0.5)*(1.11803398874989*(1 - 0.2*x^2)^0.5 - 0.223606797749979*x^2*(1 - 0.2*x^2)^(-0.5))/x
Abrimos la expresión
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________
/ 2 2
\/ 5 - x x
----------- - -------------
2 ________
/ 2
2*\/ 5 - x
---------------------------
________
___ 4 / 2
\/ x *\/ 5 - x
$$\frac{- \frac{x^{2}}{2 \sqrt{5 - x^{2}}} + \frac{\sqrt{5 - x^{2}}}{2}}{\sqrt{x} \sqrt[4]{5 - x^{2}}}$$
(sqrt(5 - x^2)/2 - x^2/(2*sqrt(5 - x^2)))/(sqrt(x)*(5 - x^2)^(1/4))
_______________
/ ________
/ / 2 / 2\
\/ x*\/ 5 - x *\-5 + 2*x /
-------------------------------
/ 2\
2*x*\-5 + x /
$$\frac{\sqrt{x \sqrt{5 - x^{2}}} \left(2 x^{2} - 5\right)}{2 x \left(x^{2} - 5\right)}$$
sqrt(x*sqrt(5 - x^2))*(-5 + 2*x^2)/(2*x*(-5 + x^2))
Denominador racional
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_______________
/ ________
/ / 2 / 2\
\/ x*\/ 5 - x *\10 - 4*x /
-------------------------------
/ 2\
4*x*\5 - x /
$$\frac{\sqrt{x \sqrt{5 - x^{2}}} \left(10 - 4 x^{2}\right)}{4 x \left(5 - x^{2}\right)}$$
sqrt(x*sqrt(5 - x^2))*(10 - 4*x^2)/(4*x*(5 - x^2))
Unión de expresiones racionales
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_______________
/ ________
/ / 2 / 2\
\/ x*\/ 5 - x *\5 - 2*x /
------------------------------
/ 2\
2*x*\5 - x /
$$\frac{\sqrt{x \sqrt{5 - x^{2}}} \left(5 - 2 x^{2}\right)}{2 x \left(5 - x^{2}\right)}$$
sqrt(x*sqrt(5 - x^2))*(5 - 2*x^2)/(2*x*(5 - x^2))