Question

rationalise the denominator of
1 / 2+√3​

Answer 1

$\frac{1}{2 + \sqrt{3} } \\ = \frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } \\ = \frac{2 - \sqrt{3} }{ {2}^{2} - (\sqrt {3} ) ^{2} } \\ = \frac{2 - \sqrt{3} }{4 - 3} \\ = 2 - \sqrt{3}$