What is expand 1/(sqrt(4+x)) ?

The solution to expand 1/(sqrt(4+x)) is (sqrt(4+x))/(4+x)

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expand 1/(sqrt(4+x))

expand

\frac{1}{4 + x}

\frac{4 + x}{4 + x}

Solution steps

\frac{1}{4 + x}

Multiply by the conjugate

\frac{4 + x}{4 + x}

= \frac{1 \cdot 4 + x}{4 + x 4 + x}

1 \cdot 4 + x = 4 + x

4 + x 4 + x = 4 + x

= \frac{4 + x}{4 + x}

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(1 - \frac{3}{y} + x) d y + (y - \frac{3}{x} + 1) d x

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What is expand 1/(sqrt(4+x)) ?
The solution to expand 1/(sqrt(4+x)) is (sqrt(4+x))/(4+x)