Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Appendix A - A.5 - The Quadratic Formula and Square Root Properties - Exercises - Page 555: 8


(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) $\sqrt{\frac{3}{16}} = \frac{\sqrt{3}}{\sqrt{16}} = \frac{\sqrt{3}}{4}$
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