Sr Examen

Otras calculadoras

¿Cómo vas a descomponer esta sqrt(7)-sqrt(2)-5/(sqrt(9+2*sqrt(14))) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src]
  ___     ___           5        
\/ 7  - \/ 2  - -----------------
                   ______________
                  /         ____ 
                \/  9 + 2*\/ 14  
$$- \frac{5}{\sqrt{2 \sqrt{14} + 9}} + \left(- \sqrt{2} + \sqrt{7}\right)$$
sqrt(7) - sqrt(2) - 5/sqrt(9 + 2*sqrt(14))
Simplificación general [src]
0
$$0$$
0
Respuesta numérica [src]
0.e-125
0.e-125
Unión de expresiones racionales [src]
        ______________                
       /         ____  /  ___     ___\
-5 + \/  9 + 2*\/ 14  *\\/ 7  - \/ 2 /
--------------------------------------
             ______________           
            /         ____            
          \/  9 + 2*\/ 14             
$$\frac{-5 + \sqrt{2 \sqrt{14} + 9} \left(- \sqrt{2} + \sqrt{7}\right)}{\sqrt{2 \sqrt{14} + 9}}$$
(-5 + sqrt(9 + 2*sqrt(14))*(sqrt(7) - sqrt(2)))/sqrt(9 + 2*sqrt(14))
Potencias [src]
  ___     ___           5        
\/ 7  - \/ 2  - -----------------
                   ______________
                  /         ____ 
                \/  9 + 2*\/ 14  
$$- \sqrt{2} - \frac{5}{\sqrt{2 \sqrt{14} + 9}} + \sqrt{7}$$
sqrt(7) - sqrt(2) - 5/sqrt(9 + 2*sqrt(14))
Parte trigonométrica [src]
  ___     ___           5        
\/ 7  - \/ 2  - -----------------
                   ______________
                  /         ____ 
                \/  9 + 2*\/ 14  
$$- \sqrt{2} - \frac{5}{\sqrt{2 \sqrt{14} + 9}} + \sqrt{7}$$
sqrt(7) - sqrt(2) - 5/sqrt(9 + 2*sqrt(14))
Denominador común [src]
  ___     ___           5        
\/ 7  - \/ 2  - -----------------
                   ______________
                  /         ____ 
                \/  9 + 2*\/ 14  
$$- \sqrt{2} - \frac{5}{\sqrt{2 \sqrt{14} + 9}} + \sqrt{7}$$
sqrt(7) - sqrt(2) - 5/sqrt(9 + 2*sqrt(14))
Denominador racional [src]
                           ______________               ______________
      ___       ___       /         ____        ____   /         ____ 
- 5*\/ 7  + 5*\/ 2  + 9*\/  9 + 2*\/ 14   - 2*\/ 14 *\/  9 + 2*\/ 14  
----------------------------------------------------------------------
                                  5                                   
$$\frac{- 2 \sqrt{14} \sqrt{2 \sqrt{14} + 9} - 5 \sqrt{7} + 5 \sqrt{2} + 9 \sqrt{2 \sqrt{14} + 9}}{5}$$
(-5*sqrt(7) + 5*sqrt(2) + 9*sqrt(9 + 2*sqrt(14)) - 2*sqrt(14)*sqrt(9 + 2*sqrt(14)))/5
Combinatoria [src]
 /             ______________            ______________\ 
 |      ___   /         ____      ___   /         ____ | 
-\5 + \/ 2 *\/  9 + 2*\/ 14   - \/ 7 *\/  9 + 2*\/ 14  / 
---------------------------------------------------------
                       ______________                    
                      /         ____                     
                    \/  9 + 2*\/ 14                      
$$- \frac{- \sqrt{7} \sqrt{2 \sqrt{14} + 9} + 5 + \sqrt{2} \sqrt{2 \sqrt{14} + 9}}{\sqrt{2 \sqrt{14} + 9}}$$
-(5 + sqrt(2)*sqrt(9 + 2*sqrt(14)) - sqrt(7)*sqrt(9 + 2*sqrt(14)))/sqrt(9 + 2*sqrt(14))