\(2,\\ a,=\sqrt{2}-2\sqrt{2}+4\sqrt{2}-3\sqrt{2}=0\\ b,=2\sqrt{5}\left(9\sqrt{5}-\sqrt{10}+4\sqrt{5}\right)+10\sqrt{2}\\ =2\sqrt{5}\left(13\sqrt{5}-\sqrt{10}\right)+10\sqrt{2}\\ =130-10\sqrt{2}+10\sqrt{2}=130\\ c,=\dfrac{\sqrt{6}+\sqrt{2}-\sqrt{6}+\sqrt{2}}{\left(\sqrt{6}-\sqrt{2}\right)\left(\sqrt{6}+\sqrt{2}\right)}=\dfrac{2\sqrt{2}}{4}=\dfrac{\sqrt{2}}{2}\\ d,=\sqrt{2}+\sqrt{2}-6\sqrt{2}+\sqrt{2}-1=-3\sqrt{2}-1\\ e,=3\sqrt{6}+15\sqrt{6}-\sqrt{\dfrac{5}{6}}=18\sqrt{6}-\dfrac{\sqrt{30}}{6}=\dfrac{108-\sqrt{30}}{6}\)