Question

rationalise 1by2-root3
$\frac{1}{2 - \sqrt{3} }$
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Answer 1

Answer:

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

$= 2 + \sqrt{3}$