Chapter 10 - Exponents and Radicals - 10.4 Dividing Radical Expressions - 10.4 Exercise Set - Page 653: 11

$\dfrac{7}{10}$

Using the properties of radicals, the given expression, $ \sqrt{\dfrac{49}{100}} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{\sqrt{49}}{\sqrt{100}} \\\\= \dfrac{\sqrt{(7)^2}}{\sqrt{(10)^2}} \\\\= \dfrac{7}{10} \end{array}