Question

\(\left(\sqrt{99}-\sqrt{18}-\sqrt{11}\right)\sqrt{11}-\sqrt{3.22}\)

Answer 1

\(=\left(3\sqrt{11}-\sqrt{11}-3\sqrt{2}\right)\cdot\sqrt{11}-\sqrt{66}\)

\(=22-3\sqrt{22}-\sqrt{66}\)

Answer 2

\(\left(\sqrt{99}-\sqrt{18}-\sqrt{11}\right)\cdot\sqrt{11}-\sqrt{3\cdot22}\)

\(=\left(\sqrt{3^2\cdot11}-\sqrt{3^2\cdot2}-\sqrt{11}\right)\cdot\sqrt{11}-\sqrt{66}\)

\(=\left(3\sqrt{11}-3\sqrt{2}-\sqrt{11}\right)\cdot\sqrt{11}-\sqrt{66}\)

\(=3\cdot11-3\sqrt{22}-11-\sqrt{66}\)

\(=33-3\sqrt{22}-11-\sqrt{66}\)

\(=22-3\sqrt{22}-\sqrt{66}\)