What is 1/(sqrt(5)-\sqrt{3)} ?

The solution to 1/(sqrt(5)-\sqrt{3)} is (sqrt(5)+sqrt(3))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(sqrt(5)-\sqrt{3)}

simplify

\frac{1}{5 - 3}

\frac{5 + 3}{2}

Decimal Notation

1.98405 \dots

Solution steps

\frac{1}{5 - 3}

Multiply by the conjugate

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

= \frac{1 \cdot ( 5 + 3 )}{( 5 - 3 ) ( 5 + 3 )}

1 \cdot (5 + 3) = 5 + 3

(5 - 3) (5 + 3) = 2

= \frac{5 + 3}{2}

\frac{5}{2 x} + \frac{7}{x}

\frac{5}{2} + \frac{1}{3}

2 (33)

3^{(- 2)}

What is 1/(sqrt(5)-\sqrt{3)} ?
The solution to 1/(sqrt(5)-\sqrt{3)} is (sqrt(5)+sqrt(3))/2