Question

rationalize the denominator of 1÷2-√3​

Answer 1

$\boxed{ \boxed{\boxed{2 + \sqrt{3} }}}$

Step-by-step explanation:

$= > \frac{1}{2 - \sqrt{3} } \\ = > \bf{l ets \: rationalize} \\ = > \frac{1}{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } \\ = > \bf\color{red}{(x + y)(x - y) = {x}^{2} - {y}^{2} } \\ = > \frac{2 + \sqrt{3} }{ {2}^{2} - ( \sqrt{ {3} } {)}^{2} } \\ = > \frac{2 + \sqrt{3} }{4 - 3} \\ \boxed{= > 2 + \sqrt{3}}$