What is 1/(sqrt(x+2)-2) ?

The solution to 1/(sqrt(x+2)-2) is (sqrt(x+2)+2)/(x-2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(sqrt(x+2)-2)

simplify

\frac{1}{x + 2 - 2}

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

Solution steps

\frac{1}{x + 2 - 2}

Multiply by the conjugate

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

= \frac{1 \cdot ( x + 2 + 2 )}{( x + 2 - 2 ) ( x + 2 + 2 )}

1 \cdot (x + 2 + 2) = x + 2 + 2

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

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

28 \div \frac{1}{4}

(2 + 3 x)^{10}

\frac{6}{12} + \frac{10}{4}

\frac{7 2}{7}

(32 - 32 i)^{- 6}

What is 1/(sqrt(x+2)-2) ?
The solution to 1/(sqrt(x+2)-2) is (sqrt(x+2)+2)/(x-2)