Question

Answer 1

C = \(\sqrt{5+2\sqrt{6}} + \sqrt{5-2\sqrt{6}}\) = \(\sqrt{2 +3 +2\sqrt{2. 3}} + \sqrt{2+3-2\sqrt{2.3}}\) = \(\sqrt{(\sqrt{2} + \sqrt{3})^2}+ \sqrt{(\sqrt{2} - \sqrt{3})^2}\) = \(\sqrt{2} + \sqrt{3} + \sqrt{3} - \sqrt{2} = 2\sqrt{3}\)

Answer 2

Ta có: \(C=\sqrt{5+2\sqrt{6}}+\sqrt{5-2\sqrt{6}}\)

\(=\sqrt{3}+\sqrt{2}+\sqrt{3}-\sqrt{2}\)

\(=2\sqrt{3}\)