Решебник по алгебре 8 класс Мерзляк Задание 535

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\[1)\ 4\sqrt{700} - 27\sqrt{7} =\]

\[= 40\sqrt{7} - 27\sqrt{7} = 13\sqrt{7};\]

\[2)\ \sqrt{75} - 6\sqrt{3} = 5\sqrt{3} - 6\sqrt{3} =\]

\[= - \sqrt{3};\]

\[3)\ 2\sqrt{50} - 8\sqrt{2} = 10\sqrt{2} - 8\sqrt{2} =\]

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

\[4)\ 5\sqrt{12} - 7\sqrt{3} = 10\sqrt{3} - 7\sqrt{3} =\]

\[= 3\sqrt{3};\]

\[5)\ 3\sqrt{72} - 4\sqrt{2} + 2\sqrt{98} =\]

\[= 18\sqrt{2} - 4\sqrt{2} + 14\sqrt{2} = 28\sqrt{2};\]

\[6)\ \frac{1}{3}\sqrt{108} + \sqrt{363} - \frac{2}{9} \cdot \sqrt{243} =\]

\[= 2\sqrt{3} + 11\sqrt{3} - 2\sqrt{3} = 11\sqrt{3}.\]