Rewrite so that the denominator contains no radical.

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Rewrite

\dfrac{5\sqrt{3}}{2\sqrt[4]{6}}

so that the denominator contains no radical. (a)

\dfrac{5\sqrt{3}\,\sqrt[4]{6}}{12}

(b)

\dfrac{5\sqrt{3}\,\sqrt[4]{216}}{12}

(c)

\dfrac{5\sqrt{3}\,\sqrt[4]{216}}{6}

(d)

\dfrac{10\sqrt{3}\,\sqrt[4]{216}}{12}