What is 1/(sqrt(5-x)) ?

The solution to 1/(sqrt(5-x)) is (sqrt(5-x))/(5-x)

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simplify 1/(sqrt(5-x))

simplify

\frac{1}{5 - x}

\frac{5 - x}{5 - x}

Solution steps

\frac{1}{5 - x}

Multiply by the conjugate

\frac{5 - x}{5 - x}

= \frac{1 \cdot 5 - x}{5 - x 5 - x}

1 \cdot 5 - x = 5 - x

5 - x 5 - x = 5 - x

= \frac{5 - x}{5 - x}

\frac{3 x ^{4} - 15 x ^{3} + 24 x}{3 x}

2^{2} - 4

\frac{8}{3} (6 a - 5 b)

j^{2} - 10 j

3 \frac{1}{3} - \frac{8}{3}