Решебник по алгебре 8 класс Мерзляк ФГОС Задание 1120

\[\boxed{\mathbf{1120}\mathbf{\text{.\ }}Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ 5\sqrt{6} = \sqrt{150};\ \ 6\sqrt{5} = \sqrt{180}\]

\[5\sqrt{6} < 6\sqrt{5}\]

\[2)\ \sqrt{55};\ \ 3\sqrt{6} = \sqrt{54}\]

\[\sqrt{55} > 3\sqrt{6}\]

\[3)\ 0,3\sqrt{3\frac{1}{2}} = \sqrt{\frac{9}{100} \cdot \frac{7}{2}} = \sqrt{\frac{63}{200}}\]

\[\sqrt{0,3} = \sqrt{\frac{3}{10}} = \sqrt{\frac{60}{100}}\]

\[0,3\sqrt{3\frac{1}{2}} > \sqrt{0,3}\]

\[4)\ \frac{3}{7}\sqrt{16\frac{1}{3}} = \sqrt{\frac{9}{49} \cdot \frac{49}{3}} = \sqrt{3};\]

\[\frac{3}{4}\sqrt{5\frac{1}{3}} = \sqrt{\frac{9}{16} \cdot \frac{16}{3}} = \sqrt{3};\]

\[\frac{3}{7}\sqrt{16\frac{1}{3}} = \frac{3}{4}\sqrt{5\frac{1}{3}}.\]