a)
(2\sqrt{3}+5)^2-(3\sqrt{3}+1)=12+25+20\sqrt{3}-27-1-6\sqrt{3}=9+14\sqrt{3}
b)
\sqrt{48}+(\sqrt{3}-3)^2=4\sqrt{3}+3+9-6\sqrt{3}=12-2\sqrt{3}
c)
(\sqrt{3})^2-\sqrt{8}-(3\sqrt{2})^2+3\sqrt{2}=3-2\sqrt{2}-18+3\sqrt{2}=-15+\sqrt{2}
d)
\sqrt{5}+\sqrt{20}-\sqrt{45}-\sqrt{500}=\sqrt{5}+\sqrt{4*5}-\sqrt{9*5}-\sqrt{100*5}=\sqrt{5}+2\sqrt{5}-3\sqrt{5}-10\sqrt{5}=-10\sqrt{5}