Sr Examen
Simplificación de expresiones/
Descomposición en fracciones simples/
sqrt(14-6*sqrt(5))-1/(2-sqrt(5))*sqrt(14-6*sqrt(5))-1/(2-sqrt(5))
¿Cómo vas a descomponer esta sqrt(14-6*sqrt(5))-1/(2-sqrt(5))*sqrt(14-6*sqrt(5))-1/(2-sqrt(5)) expresión en fracciones?
Solución
Ha introducido
[src]
______________
______________ / ___
/ ___ \/ 14 - 6*\/ 5 1
\/ 14 - 6*\/ 5 - ----------------- - ---------
___ ___
2 - \/ 5 2 - \/ 5
$$\left(\sqrt{14 - 6 \sqrt{5}} - \frac{\sqrt{14 - 6 \sqrt{5}}}{2 - \sqrt{5}}\right) - \frac{1}{2 - \sqrt{5}}$$
sqrt(14 - 6*sqrt(5)) - sqrt(14 - 6*sqrt(5))/(2 - sqrt(5)) - 1/(2 - sqrt(5))
Simplificación general
[src]
______________
______________ / ___
/ ___ 1 \/ 14 - 6*\/ 5
\/ 14 - 6*\/ 5 - --------- - -----------------
___ ___
2 - \/ 5 2 - \/ 5
$$\sqrt{14 - 6 \sqrt{5}} - \frac{\sqrt{14 - 6 \sqrt{5}}}{2 - \sqrt{5}} - \frac{1}{2 - \sqrt{5}}$$
sqrt(14 - 6*sqrt(5)) - 1/(2 - sqrt(5)) - sqrt(14 - 6*sqrt(5))/(2 - sqrt(5))
Parte trigonométrica
[src]
______________
______________ / ___
/ ___ 1 \/ 14 - 6*\/ 5
\/ 14 - 6*\/ 5 - --------- - -----------------
___ ___
2 - \/ 5 2 - \/ 5
$$\sqrt{14 - 6 \sqrt{5}} - \frac{\sqrt{14 - 6 \sqrt{5}}}{2 - \sqrt{5}} - \frac{1}{2 - \sqrt{5}}$$
sqrt(14 - 6*sqrt(5)) - 1/(2 - sqrt(5)) - sqrt(14 - 6*sqrt(5))/(2 - sqrt(5))
Denominador racional
[src]
______________ ______________
___ / ___ ___ / ___
2 + \/ 5 + 3*\/ 14 - 6*\/ 5 + \/ 5 *\/ 14 - 6*\/ 5
$$\sqrt{5} \sqrt{14 - 6 \sqrt{5}} + 2 + \sqrt{5} + 3 \sqrt{14 - 6 \sqrt{5}}$$
2 + sqrt(5) + 3*sqrt(14 - 6*sqrt(5)) + sqrt(5)*sqrt(14 - 6*sqrt(5))
Combinatoria
[src]
_____________ _____________
____ / ___ ___ / ___
1 + \/ 10 *\/ 7 - 3*\/ 5 - \/ 2 *\/ 7 - 3*\/ 5
----------------------------------------------------
___
-2 + \/ 5
$$\frac{- \sqrt{2} \sqrt{7 - 3 \sqrt{5}} + 1 + \sqrt{10} \sqrt{7 - 3 \sqrt{5}}}{-2 + \sqrt{5}}$$
(1 + sqrt(10)*sqrt(7 - 3*sqrt(5)) - sqrt(2)*sqrt(7 - 3*sqrt(5)))/(-2 + sqrt(5))
Potencias
[src]
______________
______________ / ___
/ ___ 1 \/ 14 - 6*\/ 5
\/ 14 - 6*\/ 5 - --------- - -----------------
___ ___
2 - \/ 5 2 - \/ 5
$$\sqrt{14 - 6 \sqrt{5}} - \frac{\sqrt{14 - 6 \sqrt{5}}}{2 - \sqrt{5}} - \frac{1}{2 - \sqrt{5}}$$
sqrt(14 - 6*sqrt(5)) - 1/(2 - sqrt(5)) - sqrt(14 - 6*sqrt(5))/(2 - sqrt(5))
Denominador común
[src]
_____________ _____________
____ / ___ ___ / ___
1 + \/ 10 *\/ 7 - 3*\/ 5 - \/ 2 *\/ 7 - 3*\/ 5
----------------------------------------------------
___
-2 + \/ 5
$$\frac{- \sqrt{2} \sqrt{7 - 3 \sqrt{5}} + 1 + \sqrt{10} \sqrt{7 - 3 \sqrt{5}}}{-2 + \sqrt{5}}$$
(1 + sqrt(10)*sqrt(7 - 3*sqrt(5)) - sqrt(2)*sqrt(7 - 3*sqrt(5)))/(-2 + sqrt(5))
Unión de expresiones racionales
[src]
_____________
___ / ___ / ___\
-1 + \/ 2 *\/ 7 - 3*\/ 5 *\1 - \/ 5 /
---------------------------------------
___
2 - \/ 5
$$\frac{-1 + \sqrt{2} \left(1 - \sqrt{5}\right) \sqrt{7 - 3 \sqrt{5}}}{2 - \sqrt{5}}$$
(-1 + sqrt(2)*sqrt(7 - 3*sqrt(5))*(1 - sqrt(5)))/(2 - sqrt(5))