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

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

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

simplify

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

x + 2 + 2

Solution steps

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

Multiply by the conjugate

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

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

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

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

Cancel the common factor:

x - 2

= x + 2 + 2

20 x y^{4}

4 x + 2 x^{2}

60. 2^{- 0.02 (3)}

7 + 40

y (3 y + 2) - 4 (2 y - 3)

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