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

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

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simplify 1/(sqrt(x+5))

simplify

\frac{1}{x + 5}

\frac{x + 5}{x + 5}

Solution steps

\frac{1}{x + 5}

Multiply by the conjugate

\frac{x + 5}{x + 5}

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

1 \cdot x + 5 = x + 5

x + 5 x + 5 = x + 5

= \frac{x + 5}{x + 5}

\frac{8}{5} - \frac{1}{3}

2^{2} + 1^{2} + 1^{2}

125 + 8 x^{3}

- - 29

29 - 316