Find the value of after rationalising each denominator.

MATHEMATICS · Single correct · CBSE · Mathematics · Number Systems · Number Systems

Problem

Find the value of

\displaystyle \frac{1}{\sqrt{12}+\sqrt{8}}+\frac{1}{\sqrt{12}-\sqrt{8}}

after rationalising each denominator. (a)

\dfrac{\sqrt{3}}{2}

(b)

\sqrt{3}

(c)

2\sqrt{3}

(d)

\sqrt{2}