What is 2/(1+sqrt(3)) ?

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

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simplify 2/(1+sqrt(3))

simplify

\frac{2}{1 + 3}

- 1 + 3

Solution steps

\frac{2}{1 + 3}

Multiply by the conjugate

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

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

Expand

2 (1 - 3) : 2 - 23

Expand

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

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

Factor out common term

2 : 2 (1 - 3)

= \frac{2 ( 1 - 3 )}{- 2}

Cancel the common factor:

2

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

Apply the fraction rule:

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

= - (1 - 3)

- (1 - 3) = - 1 + 3

= - 1 + 3

\frac{a}{10} - \frac{a}{6} = 1

∣ x - 6 ∣ \leq 3

k^{3} - 64

2 (2 0.125 + 18)

\frac{6.47 + 8.604}{3.37 + 90.8}