[tex]Zad.9\\a)\ 6\sqrt{5} *\sqrt{5} =6*\sqrt{5} *\sqrt{5} =6*5=30\\b)\ \sqrt{6} *4\sqrt{6} =4*\sqrt{6} *\sqrt{6} =4*6=24\\c)\ \sqrt{7}*2\sqrt{7} =2*\sqrt{7}*\sqrt{7}=2*7=14\\d)\ 2\sqrt{3} *5\sqrt{3} =2*5*\sqrt{3} *\sqrt{3}=10*3=30\\e)\ -4\sqrt{2} *3\sqrt{2} =-4*3*\sqrt{2} *\sqrt{2} =-12*2=-24\\f)\ -3\sqrt{5}*2\sqrt{5}=-3*2*\sqrt{5}*\sqrt{5}=-6*5=-30[/tex]
[tex]Zad.10\\a)\ (4\sqrt{5}) ^{2} =4^{2} *(\sqrt{5})^{2} =16*5=80\\b)\ (2\sqrt{6}) ^{2} =2^{2} *(\sqrt{6}) ^{2} = 4*6=24\\c)\ (\frac{\sqrt{7} }{3}) ^{2} = \frac{(\sqrt{7}) ^{2} }{3^{2} }=\frac{7}{9} \\d)\ (\frac{3\sqrt{8} }{2}) ^{2} =\frac{(3\sqrt{8}) ^{2} }{2^{2} } =\frac{3^{2}*(\sqrt{8}) ^{2} }{4} =\frac{9*8}{4} =9*2=18\\[/tex]
[tex]e)\ (\frac{6}{\sqrt{3} }) ^{2}=(\frac{6}{\sqrt{3} }*\frac{\sqrt{3} }{\sqrt{3} } ) ^{2} =(\frac{6\sqrt{3} }{3}) ^{2} =\frac{(6\sqrt{3}) ^{2} }{3^{2} } =\frac{6^{2}*(\sqrt{3}) ^{2} }{9}=\frac{36*3}{9} =4*3=12\\f)\ (\frac{3}{2\sqrt{6} }) ^{2}=(\frac{3}{2\sqrt{6} }*\frac{\sqrt{6} }{\sqrt{6} } ) ^{2} =(\frac{3\sqrt{6} }{2*6}) ^{2} =\frac{(3\sqrt{6}) ^{2} }{12^{2} } =\frac{3^{2}*(\sqrt{6}) ^{2} }{144}=\frac{9*6}{144} =\frac{9}{24} =\frac{3}{8} \\[/tex]
