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

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

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simplify 1/(sqrt(x)-1)

simplify

\frac{1}{x - 1}

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

Solution steps

\frac{1}{x - 1}

Multiply by the conjugate

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

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

1 \cdot (x + 1) = x + 1

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

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

- 2 w + w + 7 w

x \cdot \frac{1}{x ^{2}}

11 - 218 + 2

2 x - 4 - 6 x + 8

(0.3 + 0.4 i)^{4}