Найдите значение выражения:
1) $\sqrt{12} * \sqrt{3}$;
2) $\sqrt{32} * \sqrt{2}$;
3) $\sqrt{18} * \sqrt{50}$;
4) $\sqrt{0,009} * \sqrt{1000}$;
5) $\sqrt{200} * \sqrt{0,18}$;
6) $\sqrt{13} * \sqrt{2} * \sqrt{26}$;
7) $\sqrt{2,4} * \sqrt{1\frac{2}{3}}$;
8) $\sqrt{\frac{2}{11}} * \sqrt{8} * \sqrt{\frac{1}{11}}$;
9) $\sqrt{2^3 * 3} * \sqrt{2^5 * 3^3}$.
$\sqrt{12} * \sqrt{3} = \sqrt{12 * 3} = \sqrt{36} = 6$
$\sqrt{32} * \sqrt{2} = \sqrt{32 * 2} = \sqrt{64} = 8$
$\sqrt{18} * \sqrt{50} = \sqrt{18 * 50} = \sqrt{900} = 30$
$\sqrt{0,009} * \sqrt{1000} = \sqrt{0,009 * 1000} = \sqrt{9} = 3$
$\sqrt{200} * \sqrt{0,18} = \sqrt{200 * 0,18} = \sqrt{36} = 6$
$\sqrt{13} * \sqrt{2} * \sqrt{26} = \sqrt{13 * 2 * 26} = \sqrt{26 * 26} = \sqrt{26^2} = |26| = 26$
$\sqrt{2,4} * \sqrt{1\frac{2}{3}} = \sqrt{2,4 * 1\frac{2}{3}} = \sqrt{\frac{24}{10} * \frac{5}{3}} = \sqrt{\frac{12}{5} * \frac{5}{3}} = \sqrt{\frac{4}{1} * \frac{1}{1}} = \sqrt{4} = 2$
$\sqrt{\frac{2}{11}} * \sqrt{8} * \sqrt{\frac{1}{11}} = \sqrt{\frac{2}{11} * 8 * \frac{1}{11}} = \sqrt{\frac{16}{11^2}} = \frac{4}{|11|} = \frac{4}{11}$
$\sqrt{2^3 * 3} * \sqrt{2^5 * 3^3} = \sqrt{2^3 * 3 * 2^5 * 3^3} = \sqrt{2^{3 + 5} * 3^{1 + 3}} = \sqrt{2^{8} * 3^{4}} = \sqrt{2^{8}} * \sqrt{3^{4}} = \sqrt{(2^4)^2} * \sqrt{(3^2)^2} = |2^4| * |3^2| = |16| * |9| = 144$
Пожауйста, оцените решение