8) a) [tex]2\sqrt{3} *4\sqrt{6\\}[/tex]
[tex]8\sqrt{18}[/tex]
[tex]\sqrt{18}=3\sqrt{2}[/tex]
[tex]8*3\sqrt{2} =24\sqrt{2}[/tex]
b)[tex]2\sqrt{3} *(-\sqrt{2})[/tex]
[tex]2*\sqrt{3} *-\sqrt{2} =-2\sqrt{6}[/tex]
c)[tex]\frac{-2\sqrt{2} }{3} *\frac{\sqrt{2} }{4}[/tex]
[tex]-\frac{\sqrt{2} }{3} *\frac{\sqrt{2} }{2}[/tex]
[tex]-\frac{\sqrt{4} }{6}[/tex]
[tex]-\frac{2}{6} =-\frac{1}{3}[/tex]
d)[tex](-2\sqrt{3})*(-\frac{\sqrt{3} }{2})[/tex]
[tex]2\sqrt{3} *\frac{\sqrt{3} }{2}[/tex]
[tex]\sqrt{3} \sqrt{3}=\sqrt{9} =3[/tex]
e)[tex]-4\sqrt{3}*\sqrt{7} =-4\sqrt{21}[/tex]
f)[tex]6\sqrt{5} *(-\frac{\sqrt{5} }{30} )[/tex]
[tex]-\sqrt{5} *\frac{\sqrt{5} }{5}[/tex]
[tex]-\frac{\sqrt{25} }{5} =-\frac{5}{5} =-1[/tex]