Calculate the simplified value of after rationalizing the denominator.

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

Problem

Calculate the simplified value of

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

after rationalizing the denominator. (a)

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

(b)

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

(c)

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

(d)

\dfrac{3(\sqrt{5}-\sqrt{3})}{8}