[tex]\sqrt{45} +\sqrt{20} -\sqrt{125} =\\3\sqrt{5} +2\sqrt{5} -5\sqrt{5} =\\5\sqrt{5} -5\sqrt{5} =0\\\\\sqrt{8} +\sqrt{18} -\sqrt{32} =\\2\sqrt{2} +3\sqrt{2} -4\sqrt{2} =\\5\sqrt{2} -4\sqrt{2} =\sqrt{2} \\\\2\sqrt{160} -3\sqrt{90} +5\sqrt{40} =\\2*4\sqrt{10} -3*3\sqrt{10} +5*2\sqrt{10} =\\8\sqrt{10} -9\sqrt{10} +10\sqrt{10} =\\-\sqrt{10} +10\sqrt{10} =9\sqrt{10}[/tex]
[tex]\sqrt{27} +\sqrt{243} +\sqrt{75} -\sqrt{108} =\\3\sqrt{3} +9\sqrt{3} +5\sqrt{3} -6\sqrt{3} =\\12\sqrt{3} +5\sqrt{3} -6\sqrt{3} =\\17\sqrt{3} -6\sqrt{3} =11\sqrt{3} \\\\8\sqrt{216} -3\sqrt{96} +\sqrt{54} -2\sqrt{150} +\sqrt{600} =\\8*6\sqrt{6} -3*4\sqrt{6} +3\sqrt{6} -2*5\sqrt{6} +10\sqrt{6} =\\48\sqrt{6} -12\sqrt{6} +3\sqrt{6} -10\sqrt{6} +10\sqrt{6} =\\48\sqrt{6} -12\sqrt{6} +3\sqrt{6}=\\36\sqrt{6} +3\sqrt{6} =39\sqrt{6}[/tex]
[tex]0.2\sqrt{75} -\frac{5}{4} \sqrt{48} +2.(6)*\sqrt{27} \\\sqrt{(0,2)^2*75} -1,25\sqrt{48} +\frac{8}{3}\sqrt{27} =\\\sqrt{3} -\sqrt{75} +\frac{8}{3}*3\sqrt{3} =\\\sqrt{3} -5\sqrt{3} +8\sqrt{3} =\\-4\sqrt{3} +8\sqrt{3}=4\sqrt{3}[/tex]
