What is (sqrt(3))/(sqrt(6)-\sqrt{2)} ?

The solution to (sqrt(3))/(sqrt(6)-\sqrt{2)} is (3sqrt(2)+sqrt(6))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(3))/(sqrt(6)-\sqrt{2)}

simplify

\frac{3}{6 - 2}

\frac{3 2 + 6}{4}

Decimal Notation

1.67303 \dots

Solution steps

\frac{3}{6 - 2}

Multiply by the conjugate

\frac{6 + 2}{6 + 2}

= \frac{3 ( 6 + 2 )}{( 6 - 2 ) ( 6 + 2 )}

Expand

3 (6 + 2) : 32 + 6

Expand

(6 - 2) (6 + 2) : 4

= \frac{3 2 + 6}{4}

4 x^{3} + 24 x^{2} + 36 x

\frac{5}{2} \times \frac{2}{5}

\frac{20}{31} \cdot \frac{65}{109}

10 x + 8

What is (sqrt(3))/(sqrt(6)-\sqrt{2)} ?
The solution to (sqrt(3))/(sqrt(6)-\sqrt{2)} is (3sqrt(2)+sqrt(6))/4