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: 1

Answer

False

Work Step by Step

Checking if the statement is true or not by simplifying it, we obtain: $\sqrt \frac{1}{2}=\frac{\sqrt 1}{\sqrt 2}=\frac{1}{\sqrt 2}\\\\=\frac{1}{\sqrt 2} \times \frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{2}$ Therefore, $\sqrt \frac{1}{2}$ is not equal to $\frac{1}{4}$.
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