a) [tex]4(\sqrt{3} )^2=4*3=12[/tex]
b) [tex](2\sqrt{2} )^2=(\sqrt{8} )^2=8[/tex]
c) [tex]\sqrt{15} *\sqrt{15} =15[/tex]
d) [tex]2\sqrt{3} *5\sqrt{3}=\sqrt{12} *\sqrt{75} =\sqrt{900} =30[/tex]
e) [tex](2\sqrt{5} :5)^2=(\frac{\sqrt{20} }{5} )^2=\frac{20}{25} =\frac{4}{5}[/tex]
f) [tex](\frac{2}{3} \sqrt{6})^2 =(\frac{2}{3} )^2*(\sqrt{6} )^2=\frac{4}{9} *6=\frac{8}{3} =2\frac{2}{3}[/tex]
g) [tex](-0,1\sqrt{10} )^2=0,01*10=0,1[/tex]
h) [tex]-3\sqrt{15} *2\sqrt{15} =-6*15=-90[/tex]