Question

Расположите числа в порядке возрастания 1/8√32, 6•√1/200 и 1/4

Answer 1

$\frac{1}{8} \sqrt{32} = \sqrt{ \frac{32}{64} } = \sqrt{\frac{1}{2}} = \sqrt{\frac{200}{400}} \\ 6 \sqrt{ \frac{1}{200} } = \sqrt{ \frac{36}{200} } = \sqrt{ \frac{9}{50} } = \sqrt{ \frac{72}{400} } \\ \frac{1}{4}= \sqrt{ \frac{1}{16} } = \sqrt{ \frac{25}{400} } \\ \\ \\ \sqrt{ \frac{25}{400} } \ \textless \ \sqrt{ \frac{72}{400} }\ \textless \ \sqrt{\frac{200}{400}} \\ \\ \frac{1}{4}\ \textless \ 6 \sqrt{ \frac{1}{200} }\ \textless \ \frac{1}{8} \sqrt{32}$