Simplify completely

MATHEMATICS · Single correct · GCSE · Mathematics · Algebra · Algebra

Problem

Simplify completely, leaving no surd in the denominator:

\dfrac{1}{3+\sqrt{5}} \times \dfrac{2}{\sqrt{5}-2}

. (a)

\dfrac{\sqrt{5}+1}{4}

(b)

\dfrac{\sqrt{5}-1}{2}

(c)

\dfrac{\sqrt{5}+1}{2}

(d)

\dfrac{2(\sqrt{5}+1)}{\sqrt{5}-1}