What is 1/(sqrt(x-3)) ?

The solution to 1/(sqrt(x-3)) is (sqrt(x-3))/(x-3)

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simplify 1/(sqrt(x-3))

simplify

\frac{1}{x - 3}

\frac{x - 3}{x - 3}

Solution steps

\frac{1}{x - 3}

Multiply by the conjugate

\frac{x - 3}{x - 3}

= \frac{1 \cdot x - 3}{x - 3 x - 3}

1 \cdot x - 3 = x - 3

x - 3 x - 3 = x - 3

= \frac{x - 3}{x - 3}

(4 x - 3) (x + 6)

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\frac{x ^{2} + 5 x + 4}{x ^{2} - 3 x - 4}

2 7^{\frac{1}{3}} - (9 - 5^{2})

4 x y + 18 x y^{2}