Simplifying Fractions with Radicals

Question

How would I simplify a fraction that has a radical in it? For example:

$$\frac{\sqrt{2a^7b^2}}{{\sqrt{32b^3}}}$$

Answer 1

$$\frac{\sqrt{2a^7b^2}}{\sqrt{32b^3}}=\frac{\sqrt{2}\sqrt{a^6}\sqrt{a}\sqrt{b^2}}{\sqrt{16}\sqrt{2}\sqrt{b^2}\sqrt{b}}=\frac{a^3\sqrt{a}}{4\sqrt{b}}$$

Answer 2

Hint:

$$\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$$