Question

rationalise the denominator of 1/2+ √3​

Answer 1

Answer:

Answer is attached above !!

Answer 2

$\sf to \: rationalise \: the \: denominator \: of \: \frac{1}{2 + \sqrt{3} } \\ \\ \sf \: solution - \\ \frac{1}{2 + \sqrt{3} } \\ \\ = \sf\frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } \\ \\ = \sf \frac{2 - \sqrt{3} }{ {(2)}^{2} -( \sqrt{ {3)}^{2} } } \\ \sf (by \: the \: formula \: (a + b)(a - b) = {a}^{2} - {b}^{2} ) \\ \\ = \sf \frac{2 - \sqrt{3} }{4 - 3} \\ \\ \sf = \frac{2 - \sqrt{3} }{1} = 2 - \sqrt{3} \\ \huge \sf \red{hence \: verified} \\ \sf hope \: it \: helps.$