Question

simplify
7√3          _ √5
√0 +√3        √6+√5

Answer 1

$\frac{7\sqrt{3}}{\sqrt{0}+\sqrt{3}} - \frac{\sqrt{5}}{\sqrt{6}+\sqrt{5}} \\ \\ \frac{7\sqrt{3}}{\sqrt{3}} - \frac{\sqrt{5}(\sqrt{6}-\sqrt{5})}{(\sqrt{6}+\sqrt{5})(\sqrt{6}-\sqrt{5})} \\ \\ 7 - \frac{\sqrt{5}\sqrt{6} - 5}{6 - 5} \\ \\ 7 - \sqrt{30} - (-5) \\ \\ 12 - sqrt{30}$