Question

ПОМОГИТЕ РЕШИТЬ!!! СРОЧНО!!!

Answer 1

1.

$\sqrt[3]{13}$≈2.35133

$\sqrt[6]{45}$≈1.88597

$\sqrt{2}$≈1.41421

$\sqrt[12]{231}$≈1.57387

В порядке возрастания:

$\sqrt{2}$; $\sqrt[12]{231}$; $\sqrt[6]{45}$; $\sqrt[3]{13}$

2.

а) $\sqrt[4]{0.0625} +  \sqrt[5]{-243} = \sqrt[4]{\frac{1}{16} } - 3 = \frac{1}{2} -3 = - \frac{5}{2}$

б) $\sqrt[4]{2^{5}*3^{2}} *  \sqrt[4]{2^{11}*3^{9}} = \sqrt[4]{2^{5}*3^{2}*2^{11}*3^{9}}= \sqrt[4]{2^{16}*3^{11}}  =  \sqrt[4]{2^{5}*6^{11}} = \sqrt[4]{32*6^{11}} = 2 * 6^{2}* \sqrt[4]{2*6^{3}} = 72\sqrt[4]{2*6^{3}} = 72\sqrt[4]{432} = 144 \sqrt[4]{27}$

г) $\frac{\sqrt[4]{32} }{\sqrt[4]{8} \sqrt[4]{64} }  = \frac{\sqrt[4]{32} }{\sqrt[4]{512} } = \frac{1}{2}$

д) $\sqrt[6]{5^{5}*3^{4}} *  \sqrt[12]{5^{2}*3^{4}} = \sqrt[12]{(5 * 15^{4})^{2}*5^{2}* 3^{4}}=\sqrt[12]{81*625*15^{8}} =\sqrt[12]{50625*15^{8}} = \sqrt[12]{15^{4}*15^{8}}=\sqrt[12]{15^{12}}=15$

3.$\frac{47*\sqrt[7]{\sqrt[18]{a}} - 7 \sqrt[3]{\sqrt[42]{a}} }{18*\sqrt[6]{\sqrt[21]{a}}} = \frac{47*\sqrt[126]{a} - 7 \sqrt[126]{a} }{18 *\sqrt[126]{a}}=\frac{40\sqrt[126]{a}} {18\sqrt[126]{a}} = \frac{20}{9}$

4.$\frac{(6\frac{2}{3}+2\frac{4}{15}+5\frac{1}{2})/\frac{1}{15}-30/\frac{5}{28}} {(5\frac{4}{5}-0.6x\frac{5}{22})*48\frac{1}{2}} = \frac{(4+\frac{8}{15}+\frac{5}{2})*15-6*28}{(4-3\frac{1}{22})*24} = \frac{\frac{211}{30}*15-168}{(4-\frac{3}{22})*24}= - \frac{\frac{125}{2}} {}\frac{1020}{11} = - \frac{275}{408}$