What is 2/(8-sqrt(7)) ?

The solution to 2/(8-sqrt(7)) is (16+2sqrt(7))/(57)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2/(8-sqrt(7))

simplify

\frac{2}{8 - 7}

\frac{16 + 2 7}{57}

Decimal Notation

0.37353 \dots

Solution steps

\frac{2}{8 - 7}

Multiply by the conjugate

\frac{8 + 7}{8 + 7}

= \frac{2 ( 8 + 7 )}{( 8 - 7 ) ( 8 + 7 )}

Expand

2 (8 + 7) : 16 + 27

Expand

(8 - 7) (8 + 7) : 57

= \frac{16 + 2 7}{57}

(2 x + 3) (2 x + 5)

\frac{x}{3} + \frac{x}{5}

\frac{100 !}{98 !}

16 x^{2} - a^{2}

(6 x - 5)^{3}