Question

Rezolvare completa Coroană ​

Answer 1

$\displaystyle\\\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}+\sqrt{2}} = \frac{\sqrt{3}}{3} + \frac{\sqrt{2}}{2} + \frac{\sqrt{3}-\sqrt{2}}{3-2} \\ \\= \frac{2\sqrt{3}+3\sqrt{2}}{6}+\frac{\sqrt{3}-\sqrt{2}}{1} \\ \\= \frac{2\sqrt{3}+3\sqrt{2}+6\sqrt{3}-6\sqrt{2}}{6} \\ \\\boxed{=\frac{8\sqrt{3}-3\sqrt{2}}{6}}$