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

8 - 5 x - 2 x + 15

(2 x - 3) (3 x + 3)

(6 y^{2} - 4 x) (6 y^{2} + 13 x)

\frac{1}{16 - 14}

\frac{- 2}{4 - ( - 2 ) ^{2}}