ГДЗ по алгебре 8 класс Макарычев Задание 482

\[\boxed{\text{482\ (482).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[\textbf{а)}\ \sqrt{4^{3}} = \sqrt{2^{6}} = 2^{3} = 8\]

\[\textbf{б)}\ \sqrt{9^{5}} = \sqrt{3^{10}} = 3^{5} = 243\]

\[\textbf{в)}\ \sqrt{16^{5}} = \sqrt{4^{10}} = 4^{5} = 1024\]

\[\textbf{г)}\ \sqrt{25^{3}} = \sqrt{5^{6}} = 5^{3} = 125\]

\[\textbf{д)}\ \sqrt{8 \cdot 162} = \sqrt{4 \cdot 2 \cdot 81 \cdot 2} =\]

\[= 2 \cdot 2 \cdot 9 = 36\]

\[\textbf{е)}\ \sqrt{86 \cdot 486} = \sqrt{16 \cdot 6 \cdot 6 \cdot 81} =\]

\[= 4 \cdot 6 \cdot 9 = 216\]

\[\textbf{ж)}\ \sqrt{750 \cdot 270} =\]

\[= \sqrt{25 \cdot 3 \cdot 10 \cdot 9 \cdot 3 \cdot 10} =\]

\[= 5 \cdot 3 \cdot 10 \cdot 3 = 450\]

\[\textbf{з)}\ \sqrt{194 \cdot 776} = \sqrt{2 \cdot 97 \cdot 97 \cdot 8} =\]

\[= 4 \cdot 97 = 388\]