What is 1/(4-sqrt(2)) ?

The solution to 1/(4-sqrt(2)) is (4+sqrt(2))/(14)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(4-sqrt(2))

simplify

\frac{1}{4 - 2}

\frac{4 + 2}{14}

Decimal Notation

0.38672 \dots

Solution steps

\frac{1}{4 - 2}

Multiply by the conjugate

\frac{4 + 2}{4 + 2}

= \frac{1 \cdot ( 4 + 2 )}{( 4 - 2 ) ( 4 + 2 )}

1 \cdot (4 + 2) = 4 + 2

(4 - 2) (4 + 2) = 14

= \frac{4 + 2}{14}

\frac{56}{( - 8 )}

\frac{42}{18 a + 24 b}

x^{3} + 2 x^{2} - 4 x + 1

12 - \frac{1}{4}

(729 x^{2})^{\frac{5}{6}}