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: 107

Answer

The error is in the first step, turning $\frac{\sqrt[3] 64}{\sqrt 64}$ into $\sqrt[3] \frac{64}{64}$.

Work Step by Step

Because we are taking the square root of 64 in the denominator of the first fraction and the cube root of the 64 in the numerator, the numerator and denominator cannot be combined under a single radical.
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