Simplify and rationalise the expression .

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

Problem

Simplify and rationalise the expression

\dfrac{3^{\frac{5}{2}}}{\sqrt{3}+1}

. (a)

9(3-\sqrt{3})

(b)

\dfrac{27-9\sqrt{3}}{4}

(c)

\dfrac{27+9\sqrt{3}}{2}

(d)

\dfrac{27-9\sqrt{3}}{2}