What is 1/(sqrt(x)+2) ?

The solution to 1/(sqrt(x)+2) is (sqrt(x)-2)/(x-4)

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simplify 1/(sqrt(x)+2)

simplify

\frac{1}{x + 2}

\frac{x - 2}{x - 4}

Solution steps

\frac{1}{x + 2}

Multiply by the conjugate

\frac{x - 2}{x - 2}

= \frac{1 \cdot ( x - 2 )}{( x + 2 ) ( x - 2 )}

1 \cdot (x - 2) = x - 2

(x + 2) (x - 2) = x - 4

= \frac{x - 2}{x - 4}

i^{4}

8 \times 1 0^{- 6}

2 \times 42

\frac{1}{x} - 1

- \frac{4}{5} \times 3