Question

rationalise the denometor 1 / 2+√3

Answer 1

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Answer 2

Answer :-

$\frac{1}{2 + \sqrt{3} } \\ \\ on \: rationalising \\ \\ = \frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } \\ \\ = \frac{2 - \sqrt{3} }{ {2}^{2} - { \sqrt{3} }^{2} } \\ \\ = \frac{2 - \sqrt{3} }{4 - 3} \\ \\ \\ = 2 - \sqrt{3}$

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