Question

Racionalize os seguintes denominadores
A) $\frac{5}{2- \sqrt{3} }$

Answer 1

$\frac{5}{2 - \sqrt{3}} \times \frac{2 + \sqrt{3}}{2 + \sqrt{3}} = \frac{5 (2 + \sqrt{3})}{(2 - \sqrt{3}) \times (2 + \sqrt{3})} = \frac{10 + 5\sqrt{3}}{4 - 3} = \frac{10 + 5\sqrt{3}}{1} = 10 + 5\sqrt{3}$