What is (x-1)/(sqrt(x)+1) ?

The solution to (x-1)/(sqrt(x)+1) is sqrt(x)-1

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simplify (x-1)/(sqrt(x)+1)

simplify

\frac{x - 1}{x + 1}

x - 1

Solution steps

\frac{x - 1}{x + 1}

Multiply by the conjugate

\frac{x - 1}{x - 1}

= \frac{( x - 1 ) ( x - 1 )}{( x + 1 ) ( x - 1 )}

(x + 1) (x - 1) = x - 1

= \frac{( x - 1 ) ( x - 1 )}{x - 1}

Cancel the common factor:

x - 1

= x - 1

32 x^{8} - 50

(x^{2} - 2 x + 1) (x^{2} + 5 x + 9)

3 (2 x - y)

\frac{1}{x - 2} + \frac{1}{x + 2}

22 - 5