What is x/(sqrt(x-4)) ?

The solution to x/(sqrt(x-4)) is (xsqrt(x-4))/(x-4)

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simplify x/(sqrt(x-4))

simplify

\frac{x}{x - 4}

\frac{x x - 4}{x - 4}

Solution steps

\frac{x}{x - 4}

Multiply by the conjugate

\frac{x - 4}{x - 4}

= \frac{x x - 4}{x - 4 x - 4}

x - 4 x - 4 = x - 4

= \frac{x x - 4}{x - 4}

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