c) \(\dfrac{2\sqrt{10}+\sqrt{30}-2\sqrt{2}-\sqrt{6}}{2\sqrt{10}-2\sqrt{2}}=1+\dfrac{\sqrt{30}-\sqrt{6}}{2\sqrt{10}-2\sqrt{2}}=1+\dfrac{\sqrt{6}\left(\sqrt{5}-1\right)}{2\sqrt{2}\left(\sqrt{5}-1\right)}\)
\(=1+\dfrac{\sqrt{6}}{2\sqrt{2}}=1+\dfrac{\sqrt{3}}{2}=\dfrac{2+\sqrt{3}}{2}\)
d) \(\sqrt{\left(1-\sqrt{2016}\right)^2}.\sqrt{2017+2\sqrt{2016}}=\left|1-\sqrt{2016}\right|\sqrt{\left(\sqrt{2016}+1\right)^2}\)
\(=\left(\sqrt{2016}+1\right)\left(\sqrt{2016}-1\right)=2015\)
e) \(\left(\sqrt{15}+2\sqrt{3}\right)^2+12\sqrt{5}=27+12\sqrt{5}+12\sqrt{5}=27+24\sqrt{5}\)
f) \(2\sqrt{5}\left(2-3\sqrt{5}\right)+\left(1-2\sqrt{5}\right)^2+6\sqrt{5}\)
\(=4\sqrt{5}-30+21-4\sqrt{5}+6\sqrt{5}=6\sqrt{5}-9\)