Answer
$2\sqrt{5}$
Work Step by Step
RECALL:
The quotient rule:
$\dfrac{\sqrt[n]{a}}{\sqrt[n]{b}}=\sqrt[n]{\dfrac{a}{b}}$
where
$\sqrt[n]{a}$ and $\sqrt[n]{b}$ are real numbers and $b\ne0$
Use the rule above to obtain:
$=\sqrt{\dfrac{200}{10}}
\\=\sqrt{20}$
Factor the radicand so that at least one factor is a perfect square then simplify to obtain:
$=\sqrt{4(5)}
\\=\sqrt{2^2(5)}
\\=2\sqrt{5}$
