а) \((\sqrt{2}-3\sqrt{7})^2+6\sqrt{14}\); б) \((\sqrt{6}+\sqrt{5})^2-\sqrt{120}-(\sqrt{11})^2\); д) \((\sqrt{2}+1)^2(3-2\sqrt{2})\).

а) \[ (\sqrt{2}-3\sqrt{7})^2+6\sqrt{14}=2-6\sqrt{14}+63+6\sqrt{14}=65. \]

Ответ: \(65\).

б) \[ (\sqrt{6}+\sqrt{5})^2-\sqrt{120}-(\sqrt{11})^2=6+2\sqrt{30}+5-2\sqrt{30}-11=0. \]

Ответ: \(0\).

д) \[ (\sqrt{2}+1)^2(3-2\sqrt{2})=(3+2\sqrt{2})(3-2\sqrt{2})=9-8=1. \]

Ответ: \(1\).