What is (sqrt(3)+1)/(sqrt(3)-1) ?

The solution to (sqrt(3)+1)/(sqrt(3)-1) is 2+sqrt(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(3)+1)/(sqrt(3)-1)

simplify

\frac{3 + 1}{3 - 1}

2 + 3

Decimal Notation

3.73205 \dots

Solution steps

\frac{3 + 1}{3 - 1}

Multiply by the conjugate

\frac{3 + 1}{3 + 1}

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

Expand

(3 + 1) (3 + 1) : 4 + 23

Expand

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

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

Factor out common term

2 : 2 (2 + 3)

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

Cancel the common factor:

2

= 2 + 3

1.5 d + 6 \leq 20

\frac{2 π}{- \frac{2 π}{5}}

4 x + 10 = - 26

- \frac{x}{4} - 4 \geq \frac{5 x}{3} - \frac{1}{6}

x^{2} - a^{2}

What is (sqrt(3)+1)/(sqrt(3)-1) ?
The solution to (sqrt(3)+1)/(sqrt(3)-1) is 2+sqrt(3)