\[\boxed{\text{414\ (414).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
Пояснение.
Решение.
\[\textbf{а)}\ 3\sqrt{3} > \sqrt{12}\text{\ \ }\]
\[так\ как\ \]
\[\sqrt{9 \cdot 3} > \sqrt{12};\ \ \]
\[\sqrt{27} > \sqrt{12}\text{.\ }\]
\[\textbf{б)}\ \sqrt{20} < 3\sqrt{5}\text{\ \ }\]
\[так\ как\ \]
\[\sqrt{20} < \sqrt{9 \cdot 5};\ \]
\[\sqrt{20} < \sqrt{45}.\]
\[\textbf{в)}\ 5\sqrt{4} > 4\sqrt{5}\]
\[так\ как\ \]
\[\sqrt{25 \cdot 4} > \sqrt{16 \cdot 5};\ \ \]
\[\sqrt{100} > \sqrt{80}.\]
\[\textbf{г)}\ 2\sqrt{5} > 3\sqrt{2}\]
\[так\ как\ \]
\[\sqrt{4 \cdot 5} > \sqrt{9 \cdot 2};\ \]
\[\sqrt{20} > \sqrt{18}.\]
\[\textbf{д)} - \sqrt{14} > - 3\sqrt{2}\]
\[так\ как\]
\[- \sqrt{14} > - \sqrt{9 \cdot 2}\]
\[- \sqrt{14} > - \sqrt{18}.\]
\[\textbf{е)} - 7\sqrt{0,17} < - 11\sqrt{0,05}\ \]
\[так\ как\]
\[- \sqrt{49 \cdot 0,17} < - \sqrt{121 \cdot 0,05};\ \]
\[\ - \sqrt{8,33} < - \sqrt{6,05}.\]