What is 1/(sqrt(7)+\sqrt{3)} ?

The solution to 1/(sqrt(7)+\sqrt{3)} is (sqrt(7)-sqrt(3))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(sqrt(7)+\sqrt{3)}

simplify

\frac{1}{7 + 3}

\frac{7 - 3}{4}

Decimal Notation

0.22842 \dots

Solution steps

\frac{1}{7 + 3}

Multiply by the conjugate

\frac{7 - 3}{7 - 3}

= \frac{1 \cdot ( 7 - 3 )}{( 7 + 3 ) ( 7 - 3 )}

1 \cdot (7 - 3) = 7 - 3

(7 + 3) (7 - 3) = 4

= \frac{7 - 3}{4}

(7 y + 5) (5 y - 3)

\frac{42}{13}

\frac{42}{50}

\frac{25 - 10 i}{5 i}

- 3 x (7 x^{2} - 4 x + 9)

What is 1/(sqrt(7)+\sqrt{3)} ?
The solution to 1/(sqrt(7)+\sqrt{3)} is (sqrt(7)-sqrt(3))/4