Find the simplified value of after rationalizing the denominator.

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

Problem

Find the simplified value of

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

after rationalizing the denominator. (a)

\dfrac{2-\sqrt{3}}{7}

(b)

2-\sqrt{3}

(c)

\sqrt{3}-2

(d)

\dfrac{2-\sqrt{3}}{4}