Answer
The answer is below.
Work Step by Step
Yes, there is a much shorter way to simplify. While multiplying the numerator and denominator by $\sqrt{8}$ is a legal step, it would be easier to simplify $\sqrt{8}$ to $ 2\sqrt{2}$ first.
Elementary Algebra
by Kaufmann, Jerome; Schwitters, Karen;
Published by
Cengage Learning
ISBN 10:
1285194055
ISBN 13:
978-1-28519-405-9
Chapter 9 - Roots and Radicals - 9.3 - More on Simplifying Radicals - Problem Set 9.3 - Page 413: 73
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