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

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

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

simplify

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

2 - 3

Decimal Notation

0.26794 \dots

Solution steps

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

Multiply by the conjugate

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

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

Expand

(- 1 + 3) (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

π - \frac{π}{12}

(17 - 3 i) + (- 17 - 6 i)

\frac{5}{1 - i}

3 x + 6

2 - \frac{3}{7}

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