College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.8 - nth Roots; Rational Exponents - R.8 Assess Your Understanding: 35

Answer

$\sqrt{2}$

Work Step by Step

Using the properties of radicals that we know, we simplify: $(-\sqrt{18})+(2\sqrt{8})=-\sqrt{9*2}+2\sqrt{4*2}=-3\sqrt{2}+2*2\sqrt{2}=-3\sqrt{2}+4\sqrt{2}=(-3+4)\sqrt{2}=1\sqrt{2}=\sqrt{2}$
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