`\sqrt{75} - \sqrt{5 1/3} + 9/2\sqrt{2 2/3} + 2\sqrt{27}`
`= \sqrt{75} - \sqrt{16/3} + 9/2\sqrt{8/3} + 2\sqrt{27}`
`= 5\sqrt{3} - 4/\sqrt{3} + 3\sqrt{6} + 6\sqrt{3}`
`= -4/\sqrt{3} + 5\sqrt{3} + 6\sqrt{3} + 3\sqrt{6}`
`= -4/\sqrt{3} + 11\sqrt{3} + 3\sqrt{6}`
`= -(4\sqrt{3})/3 + 11\sqrt{3} + 3\sqrt{6}`
`= (-4\sqrt{3}+11\sqrt{3}.3+3\sqrt{6}.3)/3`
`= (29\sqrt{3}+9\sqrt{6})/3`
