## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$10$
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.