#### Answer

$10$

#### Work Step by Step

Using the properties of radicals, the given expression, $
\dfrac{\sqrt{700x}}{\sqrt{7x}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt{\dfrac{700x}{7x}}
\\\\=
\sqrt{100}
\\\\=
10
\end{array}
* Note that it is assumed that all variables represent positive numbers.