Решебник по алгебре 8 класс Мерзляк Задание 526

\[\boxed{\mathbf{526\ (526).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ \sqrt{27} = \sqrt{9 \cdot 3} = 3\sqrt{3};\]

\[2)\ \sqrt{24} = 2\sqrt{6};\]

\[3)\ \sqrt{20} = 2\sqrt{5};\]

\[4)\ \sqrt{125} = 5\sqrt{5};\]

\[5)\frac{1}{8}\sqrt{96} = \frac{1}{8} \cdot 4\sqrt{6} = \frac{\sqrt{6}}{2};\]

\[6)\ 0,4\sqrt{250} = 0,4 \cdot 5\sqrt{10} =\]

\[= 2\sqrt{10};\]

\[7) - 2\sqrt{0,18} = - 2 \cdot 3\sqrt{0,02} =\]

\[= - 6\sqrt{0,02} = - 0,6\sqrt{2};\]

\[8)\frac{4}{9}\sqrt{63} = \frac{4}{9} \cdot 3\sqrt{7} = \frac{4\sqrt{7}}{3};\]

\[9)\ 0,8\sqrt{1250} = 0,8 \cdot 25\sqrt{2} =\]

\[= 20\sqrt{2};\]

\[10)\frac{3}{7}\sqrt{98} = \frac{3}{7} \cdot 7\sqrt{2} = 3\sqrt{2};\]

\[11)\ 10\sqrt{0,03} = \sqrt{3};\]

\[12)\ 0,7\sqrt{1000} = 7\sqrt{10}\text{.\ }\]