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: 32

Answer

$-30\sqrt{6}$

Work Step by Step

Using the properties of radicals that we know, we simplify: $(5\sqrt{8})(-3\sqrt{3})=-15\sqrt{8*3}=-15\sqrt{24}=-15\sqrt{4*6}=-15*2\sqrt{6}=-30\sqrt{6}$
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