Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.10 nth Roots; Rational Exponents - A.10 Assess Your Understanding - Page A88: 15

Answer

$2 \sqrt{2}$

Work Step by Step

Factor the radicand so that one fo the factors is a perfect square number. $\sqrt8=\sqrt{4\cdot 2}$ Use $4=2^2$. $=\sqrt{2^2\cdot 2}$ Separate square root using the rule $\sqrt{ab}=\sqrt{a}\cdot \sqrt{b}$. $=\sqrt{2^2}\cdot \sqrt{2}$ Simplify. $=2 \sqrt{2}$ Hence, the correct answer is $2 \sqrt{2}$.
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