Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.4 - Adding, Subtracting, and Dividing Radical Expressions - Exercise Set - Page 538: 9

Answer

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

Work Step by Step

Regroup the terms to obtain: $=(3\sqrt[3]{x}-\sqrt[3]{x})+(3\sqrt{5}+4\sqrt{5})$ RECALL: The distributive property states that for any real numbers a, b, and c: (1) $ac + bc = (a+b)c$ (2) $ac - bc = (a-b)c$ Use the rules above to combine like terms: $=(3-1)\sqrt[3]{x} + (3+4)\sqrt{5} \\=2\sqrt[3]{x} + 7\sqrt{5}$
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