Вычислите:а) 4√90 - √10 - (3√160 - 5√40)б) 9√27 + 5√24 - (-2√96 - √150 + 3√243)в) 4√84 - 10√189 - 12√1029 + 2√525г) 5√243 + 2√48 - (8√300 - 6√363)

[latex]1) 4\sqrt{90} - \sqrt{10} - (3\sqrt{160} - 5\sqrt{40})=12\sqrt{10}-\sqrt{10}-12\sqrt{10}+10\sqrt{10}=\\=9\sqrt{10}[/latex] [latex]2)9\sqrt{27} + 5\sqrt{24} - (-2\sqrt{96} - \sqrt{150} + 3\sqrt{243})=\\=27\sqrt3+5\sqrt{24}+4\sqrt{24}+5\sqrt{6}-27\sqrt3=10\sqrt6+8\sqrt6+5\sqrt6=23\sqrt6[/latex] [latex]3)4\sqrt{84} - 10\sqrt{189} - 12\sqrt{1029} + 2\sqrt{525}=\\=8\sqrt{21}-30\sqrt{21}-84\sqrt{21}+10\sqrt{21}=-96\sqrt{21}[/latex] [latex]4)5\sqrt{243}+ 2\sqrt{48} - (8\sqrt{300} - 6\sqrt{363})=45\sqrt3+8\sqrt3-80\sqrt3+66\sqrt3=\\=39\sqrt3[/latex]