Simplify so that the denominator is rational.

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

Problem

Simplify

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

so that the denominator is rational. (a)

\dfrac{5\sqrt{5}-5\sqrt{2}}{7}

(b)

\dfrac{5\sqrt{5}+5\sqrt{2}}{3}

(c)

\dfrac{5\sqrt{5}-5\sqrt{2}}{3}

(d)

\dfrac{\sqrt{5}-\sqrt{2}}{3}