Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 8 - Review Exercises - Page 619: 19


$$2\sqrt[3] 3$$

Work Step by Step

We can use the product rule for square roots to rewrite the radicand as a product of the greatest perfect cube factor and another factor. We can see that the radicand $24$ can be broken down into two factors: the perfect cube $8$ and $3$: $$(\sqrt[3] 8)(\sqrt[3] 3)$$ Because $8$ is a perfect cube, we go ahead and simplify the expression by taking the cube root of $8$, which is $2$: $$2\sqrt[3] 3$$
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