\(a,=2.3-2\sqrt{3}.\sqrt{15}+6\sqrt{5}=6-6\sqrt{5}+6\sqrt{5}=6\\ c,=10-\sqrt{15}-2\sqrt{10}+\sqrt{6}+2\sqrt{10}-\sqrt{6}=10-\sqrt{15}\\ e,=18-6\sqrt{6}+9-2+6\sqrt{6}+27=52\)
\(a,2\sqrt{3}\left(\sqrt{3}-\sqrt{15}\right)+6\sqrt{5}\)
\(=6-2\sqrt{45}+6\sqrt{5}\)
\(=6-6\sqrt{5}+6\sqrt{5}\)
\(=6\)
\(c,\left(2\sqrt{5}-\sqrt{3}\right)\left(\sqrt{5}-\sqrt{2}\right)+2\sqrt{10}-\sqrt{6}\)
\(=10-2\sqrt{10}+\sqrt{15}+\sqrt{6}+2\sqrt{10}-\sqrt{6}\)
\(=10-\sqrt{15}\)
\(e,\left(3\sqrt{2}-\sqrt{3}\right)^2-\left(\sqrt{2}-3\sqrt{3}\right)^2\)
\(=18-6\sqrt{6}+3-\left(2-6\sqrt{6}+27\right)\)
\(=18-6\sqrt{6}+3-\left(29-6\sqrt{6}\right)\)
\(=18-6\sqrt{6}+3-29+6\sqrt[]{6}\)
\(=18+3-29=-8\)
