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 (3 x - 5) - (2 x + 6)

(x^{2} + 1) (x^{2} + 4)

48 x^{2} \cdot 6 x^{5}

ln (e^{\frac{x}{2}})

\frac{4 ^{5}}{4 ^{5}}

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