Question

[truong gia huy]

\(6\sqrt{2}\) + \(\sqrt{6-\sqrt{11}}\)\(-\sqrt{6+\sqrt{11}}\)

thu gon

mik can gap gip mik vs

Answer 1

[Nguyễn Lê Phước Thịnh]

Ta có: \(6\sqrt{2}+\sqrt{6-\sqrt{11}}-\sqrt{6+\sqrt{11}}\)

\(=\dfrac{12+\sqrt{12-2\sqrt{11}}-\sqrt{12+2\sqrt{11}}}{\sqrt{2}}\)

\(=\dfrac{12+\sqrt{11}-1-\sqrt{11}-1}{\sqrt{2}}\)

\(=5\sqrt{2}\)