Elementary Algebra

Published by Cengage Learning

Chapter 9 - Roots and Radicals - 9.4 - Products and Quotients Involving Radicals - Concept Quiz 9.4: 10

True

Work Step by Step

We first write $\sqrt[3] 8$ as $\sqrt[3] {2^{3}}$, and then we simplify it. Next, we multiply the two resultant terms together to simplify the expression: $(\sqrt[3] 8)(\sqrt[3] 3)$ =$(\sqrt[3] {2^{3}})(\sqrt[3] 3)$ =$(2)(\sqrt[3] 3)$ =$2\sqrt[3] 3$ Therefore, the question statement is true.

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