What is ((x-4))/(sqrt(x)-2) ?

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

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simplify ((x-4))/(sqrt(x)-2)

simplify

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

x + 2

Solution steps

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

Multiply by the conjugate

\frac{x + 2}{x + 2}

= \frac{( x - 4 ) ( x + 2 )}{( x - 2 ) ( x + 2 )}

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

= \frac{( x - 4 ) ( x + 2 )}{x - 4}

Cancel the common factor:

x - 4

= x + 2

9 a (c - 2) + 4 b (c - 2) + (c - 2)

(z - 8)^{2}

\frac{3 ^{- 2}}{3 ^{- 3}}

- 2 (3 - - 16) + (2 i - 5)

\frac{3}{7} - \frac{1}{4}