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How do you 1/((1+x)*sqrt(x)) in partial fractions?

An expression to simplify:

The solution

You have entered [src]
      1      
-------------
          ___
(1 + x)*\/ x 
$$\frac{1}{\sqrt{x} \left(x + 1\right)}$$
1/((1 + x)*sqrt(x))
Fraction decomposition [src]
1/sqrt(x) - sqrt(x)/(1 + x)
$$- \frac{\sqrt{x}}{x + 1} + \frac{1}{\sqrt{x}}$$
          ___
  1     \/ x 
----- - -----
  ___   1 + x
\/ x         
Numerical answer [src]
x^(-0.5)/(1.0 + x)
x^(-0.5)/(1.0 + x)
Common denominator [src]
     1      
------------
  ___    3/2
\/ x  + x   
$$\frac{1}{x^{\frac{3}{2}} + \sqrt{x}}$$
1/(sqrt(x) + x^(3/2))
Rational denominator [src]
    ___  
  \/ x   
---------
x*(1 + x)
$$\frac{\sqrt{x}}{x \left(x + 1\right)}$$
sqrt(x)/(x*(1 + x))