Решебник по алгебре 8 класс Мерзляк Задание 524

\[\boxed{\mathbf{524\ (524).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ \sqrt{8} = \sqrt{4 \cdot 2} = 2\sqrt{2};\]

\[2)\ \sqrt{12} = \sqrt{4 \cdot 3} = 2\sqrt{3};\]

\[3)\ \sqrt{32} = \sqrt{4 \cdot 8} = \sqrt{16 \cdot 2} = 4\sqrt{2};\]

\[4)\ \sqrt{54} = \sqrt{9 \cdot 6} = 3\sqrt{6};\]

\[5)\ \sqrt{490} = \sqrt{49 \cdot 10} = 7\sqrt{10};\]

\[6)\ \sqrt{500} = \sqrt{100 \cdot 5} = 10\sqrt{5};\]

\[7)\ \sqrt{275} = \sqrt{25 \cdot 11} = 5\sqrt{11};\]

\[8)\ \sqrt{108} = \sqrt{36 \cdot 3} = 6\sqrt{3};\]

\[9)\ \sqrt{0,72} = \sqrt{9 \cdot 0,08} =\]

\[= \sqrt{9 \cdot 4 \cdot 0,02} = 6\sqrt{0,02} =\]

\[= 6\sqrt{\frac{2}{100}} = 0,6\sqrt{2};\]

\[10)\ \sqrt{0,48} = \sqrt{16 \cdot 0,03} =\]

\[= 4\sqrt{0,03} = 0,4\sqrt{3};\]

\[11)\ \sqrt{450} = \sqrt{225 \cdot 2} = 15\sqrt{2};\]

\[12)\ \sqrt{36300} = \sqrt{100 \cdot 121 \cdot 3} =\]

\[= 110\sqrt{3}\text{.\ }\]