Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Appendix A - A.5 - The Quadratic Formula and Square Root Properties - Exercises - Page 555: 7

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) $\sqrt{\frac{6}{9}} = \frac{\sqrt{6}}{\sqrt{9}} = \frac{\sqrt{6}}{3}$
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