Sr Examen
Simplificación de expresiones/
Descomposición en fracciones simples/
Sqrt(2b+2*sqrt(b^2-4))/(sqrt(b^2-4)+(b+2))
¿Cómo vas a descomponer esta Sqrt(2b+2*sqrt(b^2-4))/(sqrt(b^2-4)+(b+2)) expresión en fracciones?
Solución
Ha introducido
[src]
_____________________
/ ________
/ / 2
\/ 2*b + 2*\/ b - 4
-------------------------
________
/ 2
\/ b - 4 + b + 2
$$\frac{\sqrt{2 b + 2 \sqrt{b^{2} - 4}}}{\left(b + 2\right) + \sqrt{b^{2} - 4}}$$
sqrt(2*b + 2*sqrt(b^2 - 4))/(sqrt(b^2 - 4) + b + 2)
Simplificación general
[src]
______________________
/ _________
/ / 2
\/ 2*b + 2*\/ -4 + b
--------------------------
_________
/ 2
2 + b + \/ -4 + b
$$\frac{\sqrt{2 b + 2 \sqrt{b^{2} - 4}}}{b + \sqrt{b^{2} - 4} + 2}$$
sqrt(2*b + 2*sqrt(-4 + b^2))/(2 + b + sqrt(-4 + b^2))
Respuesta numérica
[src]
2.0*((-1 + 0.25*b^2)^0.5 + 0.5*b)^0.5/(2.0 + b + 2.0*(-1 + 0.25*b^2)^0.5)
2.0*((-1 + 0.25*b^2)^0.5 + 0.5*b)^0.5/(2.0 + b + 2.0*(-1 + 0.25*b^2)^0.5)
Denominador racional
[src]
______________________
/ _________ / _________\
/ / 2 | / 2 |
\/ 2*b + 2*\/ -4 + b *\2 + b - \/ -4 + b /
-------------------------------------------------
8 + 4*b
$$\frac{\sqrt{2 b + 2 \sqrt{b^{2} - 4}} \left(b - \sqrt{b^{2} - 4} + 2\right)}{4 b + 8}$$
sqrt(2*b + 2*sqrt(-4 + b^2))*(2 + b - sqrt(-4 + b^2))/(8 + 4*b)
Combinatoria
[src]
__________________
/ _________
___ / / 2
\/ 2 *\/ b + \/ -4 + b
----------------------------
_________
/ 2
2 + b + \/ -4 + b
$$\frac{\sqrt{2} \sqrt{b + \sqrt{b^{2} - 4}}}{b + \sqrt{b^{2} - 4} + 2}$$
sqrt(2)*sqrt(b + sqrt(-4 + b^2))/(2 + b + sqrt(-4 + b^2))
Compilar la expresión
[src]
______________________
/ _________
/ / 2
\/ 2*b + 2*\/ -4 + b
--------------------------
_________
/ 2
2 + b + \/ -4 + b
$$\frac{\sqrt{2 b + 2 \sqrt{b^{2} - 4}}}{b + \sqrt{b^{2} - 4} + 2}$$
sqrt(2*b + 2*sqrt(-4 + b^2))/(2 + b + sqrt(-4 + b^2))
Parte trigonométrica
[src]
______________________
/ _________
/ / 2
\/ 2*b + 2*\/ -4 + b
--------------------------
_________
/ 2
2 + b + \/ -4 + b
$$\frac{\sqrt{2 b + 2 \sqrt{b^{2} - 4}}}{b + \sqrt{b^{2} - 4} + 2}$$
sqrt(2*b + 2*sqrt(-4 + b^2))/(2 + b + sqrt(-4 + b^2))
Potencias
[src]
______________________
/ _________
/ / 2
\/ 2*b + 2*\/ -4 + b
--------------------------
_________
/ 2
2 + b + \/ -4 + b
$$\frac{\sqrt{2 b + 2 \sqrt{b^{2} - 4}}}{b + \sqrt{b^{2} - 4} + 2}$$
sqrt(2*b + 2*sqrt(-4 + b^2))/(2 + b + sqrt(-4 + b^2))
Denominador común
[src]
__________________
/ _________
___ / / 2
\/ 2 *\/ b + \/ -4 + b
----------------------------
_________
/ 2
2 + b + \/ -4 + b
$$\frac{\sqrt{2} \sqrt{b + \sqrt{b^{2} - 4}}}{b + \sqrt{b^{2} - 4} + 2}$$
sqrt(2)*sqrt(b + sqrt(-4 + b^2))/(2 + b + sqrt(-4 + b^2))
Unión de expresiones racionales
[src]
__________________
/ _________
___ / / 2
\/ 2 *\/ b + \/ -4 + b
----------------------------
_________
/ 2
2 + b + \/ -4 + b
$$\frac{\sqrt{2} \sqrt{b + \sqrt{b^{2} - 4}}}{b + \sqrt{b^{2} - 4} + 2}$$
sqrt(2)*sqrt(b + sqrt(-4 + b^2))/(2 + b + sqrt(-4 + b^2))