Question

Знайдіть значення виразу (фото)

Answer 1

$\displaystyle\bf\\1)\\\\\sqrt{\frac{2}{3} } \cdot\sqrt{\frac{3}{8} }=\sqrt{\frac{2}{3} \cdot\frac{3}{8} } = \frac{2}{8} =\sqrt{\frac{1}{4} }=\sqrt{\Big(\frac{1}{2} \Big)^{2} }=\frac{1}{2} =0,5\\\\\\2)\\\\\sqrt{3\frac{1}{16} \cdot2\frac{14}{25} } = \sqrt{\frac{49}{16} \cdot\frac{64}{25} } =\sqrt{\frac{49\cdot4}{25} } =\sqrt{\Big(\frac{7\cdot 2}{5}\Big)^{2} } =\frac{7\cdot 2}{5} =2,8\\\\\\3)$

$\displaystyle\bf\\\sqrt{13:2\frac{3}{5} } :\sqrt{\frac{1}{5} } =\sqrt{13:\frac{13}{5} } \cdot\sqrt{\frac{5}{1} } =\sqrt{13\cdot \frac{5}{13} \cdot 5} =\sqrt{5^{2} } =5$