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

0.26794 \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

2 r^{2} - 8 r = 0

K (r, s) = 3 r - 4 s

x^{3} + x^{2} - 12 x

- 2 x^{2} - 10 x + 12

16 - 2 n = n - 11

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