`a)\frac{1}{2}\sqrt{48}-2\sqrt{75}-\frac{\sqrt{33}}{\sqrt{11}}+5\sqrt{1\frac{1}{3}}`
`=\frac{1}{2}\sqrt{16.3}-2\sqrt{25.3}-\sqrt{3}+5\sqrt{\frac{4}{3}}`
`=\frac{4}{2}\sqrt{3}-2.5\sqrt{3}-\sqrt{3}+5\sqrt{\frac{4.3}{3.3}}`
`=2\sqrt{3}-10\sqrt{3}-\sqrt{3}+\frac{10\sqrt{3}}`
`=\frac{6\sqrt{3}-30\sqrt{3}-3\sqrt{3}+10\sqrt{3}}{3}`
`=\frac{-17\sqrt{3}}{3}`
`b)\sqrt{150}+\sqrt{1,6}.\sqrt{60}+4,5\sqrt{2\frac{2}{3}}-\sqrt{6}`
`=\sqrt{25.6}+\sqrt{1,6.60}+4,5\sqrt{\frac{8}{3}}-\sqrt{6}`
`=5\sqrt{6}+\sqrt{16.6}+4,5\sqrt{\frac{8.3}{3.3}}-\sqrt{6}`
`=5\sqrt{6}+4\sqrt{6}+\frac{4,5}{2}.2\sqrt{6}-\sqrt{6}`
`=5\sqrt{6}+4\sqrt{6}+3\sqrt{6}-\sqrt{6}`
`=11\sqrt{6}`
`c)(\sqrt{28}-2\sqrt{3}+\sqrt{7})\sqrt{7}+\sqrt{84}`
`=(\sqrt{4.7}-2\sqrt{3}+\sqrt{7}).\sqrt{7}+\sqrt{4.21}`
`=(2\sqrt{7}-2\sqrt{3}+\sqrt{7}).\sqrt{7}+2\sqrt{21}`
`=(3\sqrt{7}-2\sqrt{3})\sqrt{7}+2\sqrt{21}`
`=21-2\sqrt{21}+2\sqrt{21}`
`=21`
`d)(\sqrt{6}+\sqrt{5})^2-\sqrt{120}`
`=(\sqrt{6})^2+2.\sqrt{6}.\sqrt{5}+(\sqrt{5})^2-\sqrt{4.30}`
`=6+2\sqrt{30}+5-2\sqrt{30}`
`=11`