What is 3/(5-sqrt(2)) ?

The solution to 3/(5-sqrt(2)) is (15+3sqrt(2))/(23)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3/(5-sqrt(2))

simplify

\frac{3}{5 - 2}

\frac{15 + 3 2}{23}

Decimal Notation

0.83663 \dots

Solution steps

\frac{3}{5 - 2}

Multiply by the conjugate

\frac{5 + 2}{5 + 2}

= \frac{3 ( 5 + 2 )}{( 5 - 2 ) ( 5 + 2 )}

Expand

3 (5 + 2) : 15 + 32

Expand

(5 - 2) (5 + 2) : 23

= \frac{15 + 3 2}{23}

lo g_{9} (9)

x^{\frac{7}{2}}

2 (x - 5) = 10

\frac{π}{6} + \frac{π}{12}