Question

xin các cao nhân giúp đỡ

\(\left(\frac{2\sqrt{2}+3\sqrt{3}}{\sqrt{2}+\sqrt{3}}-\sqrt{6}\right):\left(\sqrt{2}-\sqrt{3}\right)-\frac{2\sqrt{6}}{\sqrt{2}+\sqrt{3}}\)

Answer 1

\(\left(\frac{2\sqrt{2}+3\sqrt{3}}{\sqrt{2}+\sqrt{3}}-\sqrt{6}\right):\left(\sqrt{2}-\sqrt{3}\right)-\frac{2\sqrt{6}}{\sqrt{2}+\sqrt{3}}\)

\(=\frac{2\sqrt{2}+3\sqrt{3}-2\sqrt{3}-3\sqrt{2}}{\sqrt{2}+\sqrt{3}}:\left(\sqrt{2}-\sqrt{3}\right)-\frac{2\sqrt{6}}{\sqrt{2}+\sqrt{3}}\)

\(=\frac{-1}{\sqrt{2}+\sqrt{3}}-\frac{2\sqrt{6}}{\sqrt{2}+\sqrt{3}}\) \(=\frac{-1-2\sqrt{6}}{\sqrt{2}+\sqrt{3}}=3\sqrt{3}-5\sqrt{2}\)