Question

O inverso do número $\frac{ \sqrt{5} - \sqrt{3} }{2 \sqrt{3} }$ é?

Answer 1

$\frac{\sqrt{5}-\sqrt{3}}{2\sqrt{3}}$

$\frac{2\sqrt{3}}{\sqrt{5}-\sqrt{3}}\ \frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}+\sqrt{3}}\ \frac{2\sqrt{15}+6}{5-3}\\\\\ \frac{2\sqrt{15}+6}{2} = \sqrt{15}+3\\\\ \boxed{\sqrt{15}+3}$