Rationalise the denominator of each of the following fractions and simplify the result:

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

Problem

Rationalise the denominator of each of the following fractions and simplify the result: (a)

\dfrac{1}{3+\sqrt{2}}

(b)

\dfrac{1}{\sqrt{5}+\sqrt{3}}

(c)

\dfrac{\sqrt{3}}{4-\sqrt{3}}