Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.3 - Simplifying Radical Expressions - Exercise Set - Page 705: 108


The error is in the first step, turning $\frac{\sqrt[4] 16}{\sqrt 4}$ into $\sqrt[4] \frac{16}{4}$.

Work Step by Step

Because the we are taking the square root of 4 in the denominator of the first fraction and the fourth root of the 16 in the numerator, the numerator and denominator cannot be combined under a single radical.
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