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}

2 \div \frac{5}{6}

\frac{7 ( m - 6 )}{m - 6} \cdot \frac{5 m ( 7 m - 5 )}{7 ( 7 m - 5 )}

\frac{( 6 x ^{3} - x ^{2} - 16 x + 6 )}{( 2 x - 3 )}

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

\frac{60000}{4 π \cdot ( 7.5 \cdot 1 0 ^{- 3} ) ^{2}}