Let S= 1 6 + 2 + 1 6 - 2

MATHEMATICS · Subjective · CBSE · Mathematics · Number Systems · Number Systems

Problem

Let

S=\dfrac{1}{\sqrt{6}+\sqrt{2}}+\dfrac{1}{\sqrt{6}-\sqrt{2}}.

(i) Rationalise each denominator separately and write the simplified forms. (ii) Hence find the value of

S

in its simplest radical form.