Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 7 - Section 7.4 - Adding and Subtracting Radical Expressions - 7.4 Exercises - Page 465: 4

Answer

the terms are unlike terms/radicals, and hence cannot be combined

Work Step by Step

The result of $28-4\sqrt{2}=24\sqrt{2}$ is incorrect because the terms (or radicals) are unlike. This can easily be seen by expressing the given as \begin{align*} & 28\sqrt{1}-4\sqrt{2} .\end{align*} Since the radicals are unlike (i.e. the radicands are different), then the expression cannot be combined to become $24\sqrt{2}$.
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