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

The solution to 5/(2+sqrt(3)) is 10-5sqrt(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5/(2+sqrt(3))

simplify

\frac{5}{2 + 3}

10 - 53

Decimal Notation

1.33974 \dots

Solution steps

\frac{5}{2 + 3}

Multiply by the conjugate

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

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

Expand

5 (2 - 3) : 10 - 53

Expand

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

= \frac{10 - 5 3}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 10 - 53

16 x^{2} = 49

x^{2} - x + 0 = 0

4 x^{2} - 31 x + 21

8 z - 22 = 3 (3 z + 11) - z

\frac{3 ( x - 2 ) + y ( x - 2 )}{x ^{2} - 4}