Решебник по алгебре 8 класс Мерзляк Задание 550

\[\boxed{\mathbf{550\ (550).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\sqrt{98} - \sqrt{50} + \sqrt{32} =\]

\[= 7\sqrt{2} - 5\sqrt{2} + 4\sqrt{2} = 6\sqrt{2};\]

\[2)\ 3\sqrt{8} + \sqrt{128} - \frac{1}{3}\sqrt{162} =\]

\[= 6\sqrt{2} + 8\sqrt{2} - 3\sqrt{2} = 11\sqrt{2};\]

\[3)\ 0,7\sqrt{300} - 7\sqrt{\frac{3}{49}} + \frac{2}{3}\sqrt{108} =\]

\[= 7\sqrt{3} - \sqrt{3} + 4\sqrt{3} = 10\sqrt{3};\]

\[4)\ \sqrt{5a} - 2\sqrt{20a} + 3\sqrt{80a} =\]

\[= \sqrt{5a} - 4\sqrt{5a} + 12\sqrt{5a} =\]

\[= 9\sqrt{5a};\]

\[5)\ \sqrt{a^{3}b} - \frac{2}{a}\sqrt{a^{5}b} =\]

\[= a\sqrt{\text{ab}} - 2a\sqrt{\text{ab}} = - a\sqrt{\text{ab}};\]

\[6)\ \sqrt{c^{5}} + 4c\sqrt{c^{3}} - 5c^{2}\sqrt{c} =\]

\[= c^{2}\sqrt{c} + 4c^{2}\sqrt{c} - 5c^{2}\sqrt{c} = 0.\]