Answer
$\frac{\sqrt {14ab}}{2b}$
Work Step by Step
Step 1: $\frac{\sqrt {7a}}{\sqrt {2b}}$
Step 2: Rationalize the denominator: $\frac{\sqrt {7a}}{\sqrt {2b}}\times\frac{\sqrt {2b}}{\sqrt {2b}}$.
Step 3: $\frac{\sqrt {7a}\times\sqrt {2b}}{\sqrt {2b}\times\sqrt {2b}}$
Step 4: $\frac{\sqrt {7a\times2b}}{2b}$
Step 5: $\frac{\sqrt {7a\times2b}}{2b}$
Step 6: $\frac{\sqrt {14ab}}{2b}$