Question

Очень срочно,алгебра

Answer 1

$\sqrt{ \frac{100}{441} } = \frac{ \sqrt{10^{2} } }{ \sqrt{21^{2} } } = \frac{10}{21} \\ \\ \sqrt{ \frac{9}{484} } = \frac{3}{22} \\ \\ \sqrt{ \frac{121}{144} } = \frac{11}{12} \\ \\ \sqrt{ \frac{45}{180} } = \frac{ \sqrt{9*5} }{ \sqrt{36*5} } = \frac{3 \sqrt{5} }{6 \sqrt{5} } = \frac{1}{2} =0,5 \\ \\ \sqrt{ \frac{8}{242} } = \frac{ \sqrt{4*2} }{ \sqrt{121*2} } = \frac{2 \sqrt{2} }{11 \sqrt{ 2 } } = \frac{2}{11} \\ \\ [tex]\sqrt{ \frac{150}{216} } = \frac{ \sqrt{25*6} }{ \sqrt{36*6} }= \frac{5 \sqrt{6} }{6 \sqrt{6} }= \frac{5}{6} \\ \\ \sqrt{ \frac{225 m^{8} }{169 n^{16} } } = \frac{15 m^{4} }{13n^{8} } \\ \\ \sqrt{ \frac{324m^{18} }{196n^{6} } } = \frac{18m^{9} }{14 n^{3} } \\ \\ \sqrt{ \frac{25m^{12} }{36n^{25} } } = \frac{5 m^{6} }{6n^{12}* \sqrt{n} }$