Answer
(a) $\frac{1}{2}$
(b) $\frac{4}{3}$
(c) $\frac{\sqrt{5}}{6}$
(d) $\frac{\sqrt{3}}{4}$
Work Step by Step
We can simplify the following expressions by using the quotient property of square roots:
(a) $\sqrt{\frac{1}{4}} = \frac{\sqrt{1}}{\sqrt{4}} = \frac{1}{2}$
(b) $\sqrt{\frac{16}{9}} = \frac{\sqrt{16}}{\sqrt{9}} = \frac{4}{3}$
(c) $\sqrt{\frac{5}{36}} = \frac{\sqrt{5}}{\sqrt{36}} = \frac{\sqrt{5}}{6}$
(d) $\sqrt{\frac{3}{16}} = \frac{\sqrt{3}}{\sqrt{16}} = \frac{\sqrt{3}}{4}$
