What is 7/(2+sqrt(3)) ?

The solution to 7/(2+sqrt(3)) is 14-7sqrt(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 7/(2+sqrt(3))

simplify

\frac{7}{2 + 3}

14 - 73

Decimal Notation

1.87564 \dots

Solution steps

\frac{7}{2 + 3}

Multiply by the conjugate

\frac{2 - 3}{2 - 3}

= \frac{7 ( 2 - 3 )}{( 2 + 3 ) ( 2 - 3 )}

Expand

7 (2 - 3) : 14 - 73

Expand

(2 + 3) (2 - 3) : 1

= \frac{14 - 7 3}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 14 - 73

3 (\frac{1}{3} x + 7) - 7

(5 x^{2} + 7) - (3 x - 2)

\frac{x ^{2} + 8 x + 15}{x - 4} \cdot \frac{x ^{2} - 16}{2 x + 6}

\frac{( x + 5 ) ^{2} - ( x - 5 ) ^{2}}{2 x}

\frac{2}{3} \div \frac{8}{9}