What is 2/(7-sqrt(6)) ?

The solution to 2/(7-sqrt(6)) is (14+2sqrt(6))/(43)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2/(7-sqrt(6))

simplify

\frac{2}{7 - 6}

\frac{14 + 2 6}{43}

Solution steps

\frac{2}{7 - 6}

Multiply by the conjugate

\frac{7 + 6}{7 + 6}

= \frac{2 ( 7 + 6 )}{( 7 - 6 ) ( 7 + 6 )}

Expand

2 (7 + 6) : 14 + 26

Expand

(7 - 6) (7 + 6) : 43

= \frac{14 + 2 6}{43}

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

\frac{- 80}{10}

\frac{1}{- 8 i}

- \frac{5}{6} - \frac{5}{9}

\frac{12 x}{2}