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

\frac{25}{40}

(- 8 a + 9 b)^{2}

(4 a^{3} - 3 a - 8) - (a - 5)

- 2^{8}

30 \div 3