`a, 3\sqrt{8} - 6\sqrt{1/18} + (\sqrt{2}-2)/\sqrt{2}`
`= 6\sqrt{2} - \sqrt{2} + 1 - \sqrt{2}`
`= 4\sqrt{2} + 1`
`b, \sqrt{(2-\sqrt{3})^2} + \sqrt{4-2\sqrt{3}}`
`= 2 - \sqrt{3} + \sqrt{3} - 1`
`= 2 - 1`
`= 1`
`c, 4/(\sqrt{3}+1) - 5/(\sqrt{3}-2) + 6/(\sqrt{3}-3)`
`= (4(3\sqrt{3}-5)-(-10)+2\sqrt{3}(1-\sqrt{3}))/((1+\sqrt{3})(\sqrt{3}-2)(1-\sqrt{3}))`
`= (4(3\sqrt{3}-5)+10+2\sqrt{3}(1-\sqrt{3}))/(4-2\sqrt{3})`
`= (14\sqrt{3} - 16)/(4-2\sqrt{3})`
`= (2(7\sqrt{3}-8))/(2(2-\sqrt{3}))`
`= (7\sqrt{3}-8)/(2-\sqrt{3})`
`= 6\sqrt{3}+5`
