\[\boxed{\text{1016.\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]
\[\textbf{а)}\ \left( \sqrt{7} + 2\sqrt{5} \right)^{2} < (2 + \sqrt{35})²\]
\[7 + 4\sqrt{35} + 20 < 4 + 4\sqrt{35} + 35\]
\[27 < 39 \Longrightarrow верно.\]
\[\textbf{б)}\ \left( 4\sqrt{6} + 2 \right)^{2} > (2\sqrt{3} + 4\sqrt{2})²\]
\[96 + 16\sqrt{6} + 4 > 12 +\]
\[+ 16\sqrt{6} + 32\]
\[100 > 44 \Longrightarrow верно.\]