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

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

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

expand

\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{6 x ^{2} - 10 x + 36}{( x ^{2} + 7 ) ( x - 4 )}

(s + 0.8 - 0.43 i) (s + 0.8) (s + 0.43 i) (s + 0.6)

(θ - cos (θ)) sin (θ)

x^{\frac{2}{3}} (2 x^{\frac{1}{3}} - 3)

d e tl a (t - \frac{π}{3}) tan (t)

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