Elementary Algebra

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

Chapter 9 - Roots and Radicals - 9.4 - Products and Quotients Involving Radicals - Problem Set 9.4: 12

Answer

$35 \sqrt[3] {30}$

Work Step by Step

First of all, in order to make this one large cube root, we multiply the coefficients to obtain that the new coefficient is 35. Recall, $\sqrt[3] a \times \sqrt[3] b = \sqrt[3] {a \times b}$. Thus, we can multiply 10 and 3 to obtain the simplified expression: $35\sqrt[3] {10 \times 3} =35 \sqrt[3] {30}$
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