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

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

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

simplify

\frac{3}{1 + 3}

- \frac{3 - 3}{2}

Decimal Notation

0.63397 \dots

Solution steps

\frac{3}{1 + 3}

Multiply by the conjugate

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

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

Expand

3 (1 - 3) : 3 - 3

Expand

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

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

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

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

z^{2} (1 - z^{2}) (1 + z^{2})

9 y^{6} - 576

\frac{8 x ^{3} - 1}{4 x ^{2} - 1}

9604

- 8 + v - 2 v

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