What is (sqrt(3))/(-1-sqrt(5)) ?

The solution to (sqrt(3))/(-1-sqrt(5)) is -(-sqrt(3)+sqrt(15))/4

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simplify (sqrt(3))/(-1-sqrt(5))

simplify

\frac{3}{- 1 - 5}

- \frac{- 3 + 15}{4}

Decimal Notation

- 0.53523 \dots

Solution steps

\frac{3}{- 1 - 5}

Multiply by the conjugate

\frac{- 1 + 5}{- 1 + 5}

= \frac{3 ( - 1 + 5 )}{( - 1 - 5 ) ( - 1 + 5 )}

Expand

3 (- 1 + 5) : - 3 + 15

Expand

(- 1 - 5) (- 1 + 5) : - 4

= \frac{- 3 + 15}{- 4}

Apply the fraction rule:

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

= - \frac{- 3 + 15}{4}

3 (x - 2) = x + 6

8 x^{2} + 3 x - 5

1 + \frac{20}{x + 1} \leq \frac{20}{x}

(x + 7)^{2} (x + 5) > 0

x^{2} - 16 x y + 64 y^{2}

What is (sqrt(3))/(-1-sqrt(5)) ?
The solution to (sqrt(3))/(-1-sqrt(5)) is -(-sqrt(3)+sqrt(15))/4