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

The solution to (2-sqrt(2))/(2+sqrt(2)) is 3-2sqrt(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

3 - 22

Decimal Notation

0.17157 \dots

Solution steps

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

Multiply by the conjugate

\frac{2 - 2}{2 - 2}

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

Expand

(2 - 2) (2 - 2) : 6 - 42

Expand

(2 + 2) (2 - 2) : 2

= \frac{6 - 4 2}{2}

Factor out common term

2 : 2 (3 - 22)

= \frac{2 ( 3 - 2 2 )}{2}

Cancel the common factor:

2

= 3 - 22

2 x^{3} y - 18 x y

- 208 = 13 p

\frac{( x ^{2} - 5 x )}{5 x}

3 y + 7 = - 6 y - 56

7 y^{2} - 4 y - 3

What is (2-sqrt(2))/(2+sqrt(2)) ?
The solution to (2-sqrt(2))/(2+sqrt(2)) is 3-2sqrt(2)