Answer
(a) $\frac{3}{4}$
(b) $\frac{5}{7}$
(c) $\frac{\sqrt{7}}{4}$
(d) $\frac{\sqrt{6}}{3}$
Work Step by Step
We can simplify the following expressions by using the quotient property of square roots:
(a) $\sqrt{\frac{9}{16}} = \frac{\sqrt{9}}{\sqrt{16}} = \frac{3}{4}$
(b) $\sqrt{\frac{25}{49}} = \frac{\sqrt{25}}{\sqrt{49}} = \frac{5}{7}$
(c) $\sqrt{\frac{7}{16}} = \frac{\sqrt{7}}{\sqrt{16}} = \frac{\sqrt{7}}{4}$
(d) $\sqrt{\frac{6}{9}} = \frac{\sqrt{6}}{\sqrt{9}} = \frac{\sqrt{6}}{3}$
