Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - 9.3 - More on Simplifying Radicals - Concept Quiz 9.3 - Page 411: 3



Work Step by Step

To find the simplest radical form, we will have to rationalize the denominator of the expression: $\sqrt \frac{9}{5}$ $=\frac{\sqrt 9}{\sqrt 5}$ $=\frac{\sqrt {3^{2}}}{\sqrt 5}$ $=\frac{3}{\sqrt 5}$ $=\frac{3}{\sqrt 5}\times\frac{\sqrt 5}{\sqrt 5}$ $=\frac{3\sqrt 5}{(\sqrt 5)^{2}}$ $=\frac{3\sqrt 5}{5}$ Therefore, it can be seen that the statement is false.
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