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

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

simplify

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

2 - 3

Decimal Notation

0.26794 \dots

Solution steps

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

Multiply by the conjugate

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

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

Expand

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

Expand

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

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

Factor out common term

2 : 2 (- 2 + 3)

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

Cancel the common factor:

2

= \frac{- 2 + 3}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - (- 2 + 3)

- (- 2 + 3) = 2 - 3

= 2 - 3

t^{2} - 2 t = 7

\frac{4.1}{4.1 - 4}

500 \leq 12 x

- 54 x^{2} + 672 x = 0

2 x^{2} + 3 x - 5 > 0

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