`\sqrt{27} - 2\sqrt{48} - 6\sqrt{1/2}`
`= 3\sqrt{3} - 8\sqrt{3} - \sqrt{36/2}`
`= -5\sqrt{3} - \sqrt{18}`
`= -5\sqrt{3} - 3\sqrt{2}`
`3\sqrt{24} - 10\sqrt{80} - 3\sqrt{2/3} + 8\sqrt{125}`
`= 12\sqrt{6} - 40\sqrt{5} + 40\sqrt{5} - \sqrt{6}`
`= 11\sqrt{6}`