Rationalise the denominator of and choose the correct simplified form.

MATHEMATICS · Single correct · ICSE · Mathematics · Pure Arithmetic · Pure Arithmetic

Problem

Rationalise the denominator of

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

and choose the correct simplified form. (a)

\dfrac{5\sqrt{2}-2\sqrt{6}}{13}

(b)

\dfrac{5\sqrt{2}+2\sqrt{6}}{25}

(c)

\dfrac{5\sqrt{2}+2\sqrt{6}}{13}

(d)

\dfrac{5\sqrt{2}+2\sqrt{6}}{37}