a)
(3\sqrt{75} -2\sqrt{12}):\sqrt{3}=(3\sqrt{25*3}-2\sqrt{4*3}):\sqrt3=
(3*5\sqrt3-2*2\sqrt3):\sqrt3=(15\sqrt3-4\sqrt3):\sqrt3=\frac{11\sqrt3}{\sqrt3}=11
b)
(\sqrt{8}*\sqrt{2})*\sqrt{2}=\sqrt{16}*\sqrt4=4*2=8
c)
\sqrt{12}+\sqrt{75}+\sqrt{24}+\sqrt{3}=\sqrt{4*3}+\sqrt{25*3}+\sqrt{4*6}+\sqrt3=
2\sqrt3+5\sqrt3+2\sqrt6\sqrt{12}+\sqrt{75}+\sqrt{24}+\sqrt{3}+\sqrt3=8\sqrt3+2\sqrt6
d)
\frac{6-3\sqrt{2}}{3}=\frac{3(2-\sqrt3)}{3}=2-\sqrt3
e)
\frac{\sqrt{3}*\sqrt{15}}{\sqrt{5}}=\frac{\sqrt3*\sqrt3*\sqrt5}{\sqrt5}=(\sqrt3)^2=3
f)
\frac{\sqrt{6}*\sqrt{3}}{\sqrt{2}}=\frac{\sqrt2*\sqrt3*\sqrt3}{\sqrt2}=(\sqrt3)^2=3