Question

Найдите значение частного:
$\frac{\sqrt{4500} }{\sqrt{500} } =\\\\\frac{\sqrt{2,5} }{\sqrt{40} }=$

Answer 1

$\displaystyle\bf\\1)\\\\\frac{\sqrt{4500} }{\sqrt{500} }=\sqrt{\frac{4500}{500} } =\sqrt{9} =\sqrt{3^{2} } =3\\\\\\2)\\\\\frac{\sqrt{2,5} }{\sqrt{40} } =\sqrt{\frac{2,5}{40} } =\sqrt{\frac{25}{400} } =\sqrt{\frac{25}{25\cdot 16} } =\sqrt{\frac{1}{16} } =\sqrt{\Big(\frac{1}{4}\Big)^{2} } =\frac{1}{4} =0,25$