Elementary Algebra

Published by Cengage Learning

Chapter 9 - Roots and Radicals - 9.3 - More on Simplifying Radicals - Concept Quiz 9.3 - Page 412: 6

False

Work Step by Step

Simplifying the expression by using the rule $\frac{\sqrt a}{\sqrt b}=\sqrt \frac{a}{b}$, we obtain: $\frac{\sqrt {-36}}{\sqrt 9}=\sqrt \frac{-36}{9}=\sqrt {-4}$ $\sqrt {-4}$ cannot be simplified further as it is not a real number. Therefore, the question statement is false.

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