Question

(UFRGS-RS) A expressão raiz de 3/5 + raiz de 5/3 é igual a ?

Answer 1

$\frac{\sqrt{3}}{\sqrt{5}}+\frac{\sqrt{5}}{\sqrt{3}} \\\\\ \frac{\sqrt{3}}{\sqrt{5}}\ \frac{ \sqrt{5} } {\sqrt{5}} = \frac{\sqrt{15}}{5}\\\\\ \frac{\sqrt{5}}{\sqrt{3}}\ \frac{\sqrt{3}}{\sqrt{3}} = \frac{\sqrt{15}}{3}$

$\frac{\sqrt{15}}{5}+\frac{\sqrt{15}}{3} = \frac{3\sqrt{15}+5\sqrt{15}}{15}\\\\\ \boxed{8\frac{\sqrt{15}}{15}}$