Sr Examen
Simplificación de expresiones/
Descomposición en fracciones simples/
sqrt(2)/(sqrt(8)+2)-(6-sqrt(32))/sqrt(8)-3
¿Cómo vas a descomponer esta sqrt(2)/(sqrt(8)+2)-(6-sqrt(32))/sqrt(8)-3 expresión en fracciones?
Solución
Ha introducido
[src]
___ ____ \/ 2 6 - \/ 32 --------- - ---------- - 3 ___ ___ \/ 8 + 2 \/ 8
$$-3 + \left(- \frac{6 - \sqrt{32}}{\sqrt{8}} + \frac{\sqrt{2}}{2 + \sqrt{8}}\right)$$
sqrt(2)/(sqrt(8) + 2) - (6 - sqrt(32))/sqrt(8) - 3
Potencias
[src]
___ ___ / ___\
\/ 2 \/ 2 *\6 - 4*\/ 2 /
-3 + ----------- - -------------------
___ 4
2 + 2*\/ 2
$$-3 - \frac{\sqrt{2} \left(6 - 4 \sqrt{2}\right)}{4} + \frac{\sqrt{2}}{2 + 2 \sqrt{2}}$$
___
\/ 2 ___ / 3 ___\
-3 + ----------- + \/ 2 *|- - + \/ 2 |
___ \ 2 /
2 + 2*\/ 2
$$-3 + \sqrt{2} \left(- \frac{3}{2} + \sqrt{2}\right) + \frac{\sqrt{2}}{2 + 2 \sqrt{2}}$$
-3 + sqrt(2)/(2 + 2*sqrt(2)) + sqrt(2)*(-3/2 + sqrt(2))
Parte trigonométrica
[src]
___ ___ / ___\
\/ 2 \/ 2 *\6 - 4*\/ 2 /
-3 + ----------- - -------------------
___ 4
2 + 2*\/ 2
$$-3 - \frac{\sqrt{2} \left(6 - 4 \sqrt{2}\right)}{4} + \frac{\sqrt{2}}{2 + 2 \sqrt{2}}$$
-3 + sqrt(2)/(2 + 2*sqrt(2)) - sqrt(2)*(6 - 4*sqrt(2))/4
Unión de expresiones racionales
[src]
___ ___ / / ___\ / ___\\
-6 - 6*\/ 2 + \/ 2 *\1 - \1 + \/ 2 /*\3 - 2*\/ 2 //
----------------------------------------------------
/ ___\
2*\1 + \/ 2 /
$$\frac{- 6 \sqrt{2} - 6 + \sqrt{2} \left(- \left(1 + \sqrt{2}\right) \left(3 - 2 \sqrt{2}\right) + 1\right)}{2 \left(1 + \sqrt{2}\right)}$$
(-6 - 6*sqrt(2) + sqrt(2)*(1 - (1 + sqrt(2))*(3 - 2*sqrt(2))))/(2*(1 + sqrt(2)))
Combinatoria
[src]
/ ___\
-2*\2 + \/ 2 /
--------------
___
1 + \/ 2
$$- \frac{2 \left(\sqrt{2} + 2\right)}{1 + \sqrt{2}}$$
-2*(2 + sqrt(2))/(1 + sqrt(2))
Denominador común
[src]
2
-2 - ---------
___
1 + \/ 2
$$-2 - \frac{2}{1 + \sqrt{2}}$$
-2 - 2/(1 + sqrt(2))