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

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

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

simplify

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

- x + 2 - 2

Solution steps

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

Multiply by the conjugate

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

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

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

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

Cancel

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

= - (x + 2 + 2)

Negate

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

= - x + 2 - 2

- 2 x^{3} + 22 x

(3 a b^{4})^{4}

8 + 9 x + 4 (11 - 2 x)

\frac{35}{( - 7 )}

\frac{3}{2} \div \frac{3}{4}

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