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

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

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simplify x/(sqrt(x-1))

simplify

\frac{x}{x - 1}

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

Solution steps

\frac{x}{x - 1}

Multiply by the conjugate

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

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

x - 1 x - 1 = x - 1

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

\frac{( 1 + x ^{- 1} )}{( 1 - x ^{- 2} )}

\frac{6}{7} - \frac{3}{7}

75 \cdot 27

\frac{1.9 - 2}{1. 9 ^{2} + 1.9 - 6}