Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 6 Rational Exponents and Radical Functions - 6.2 Apply Properties of Rational Exponents - 6.2 Exercises - Skill Practice - Page 424: 41


The student combined the radicals incorrectly, since they were not like radicals.

Work Step by Step

In order to solve this problem, we may need to use the rules of radicals, which are listed on page 421. Once we have done this, we combine like radicals. Doing this, we find that the expression simplifies to: $$2\sqrt[3]{10}+2\cdot \:3\sqrt[3]{5} \\ 2\left(\sqrt[3]{10}+3\sqrt[3]{5}\right) $$
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