Elementary Algebra

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

Chapter 9 - Roots and Radicals - 9.1 - Roots and Radicals - Problem Set 9.1: 65

Answer

$3\sqrt[3]{7}+2\sqrt[3]{5}$

Work Step by Step

Using $a(b+c)=ab+ac$, or the Distributive Property, the given expression, $ 9\sqrt[3]{7}+2\sqrt[3]{5}-6\sqrt[3]{7} ,$ simplifies to \begin{array}{l}\require{cancel} (9\sqrt[3]{7}-6\sqrt[3]{7})+2\sqrt[3]{5} \\\\= (9-6)\sqrt[3]{7}+2\sqrt[3]{5} \\\\= 3\sqrt[3]{7}+2\sqrt[3]{5} .\end{array}
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