Решебник по алгебре 8 класс Мерзляк Задание 542

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

\[2)\frac{12}{\sqrt{6}} = \frac{12\sqrt{6}}{\sqrt{6} \cdot \sqrt{6}} = \frac{12\sqrt{6}}{6} = 2\sqrt{6};\]

\[3)\frac{18}{\sqrt{5}} = \frac{18\sqrt{5}}{\sqrt{5} \cdot \sqrt{5}} = \frac{18\sqrt{5}}{5};\]

\[4)\frac{m}{\sqrt{n}} = \frac{m\sqrt{n}}{\sqrt{n} \cdot \sqrt{n}} = \frac{m\sqrt{n}}{n};\]

\[5)\frac{a}{b\sqrt{b}} = \frac{a\sqrt{b}}{b \cdot \sqrt{b} \cdot \sqrt{b}} = \frac{a\sqrt{b}}{b^{2}};\ \]

\[6)\frac{5}{\sqrt{15}} = \frac{5\sqrt{15}}{15} = \frac{\sqrt{15}}{3};\]

\[7)\frac{7}{\sqrt{7}} = \frac{7\sqrt{7}}{7} = \sqrt{7};\]

\[8)\frac{24}{5\sqrt{3}} = \frac{24\sqrt{3}}{15} = \frac{8\sqrt{3}}{5}.\]