Answer
$-19\sqrt{10}$
Work Step by Step
$-3\sqrt{90}-5\sqrt{40}$
Factor out perfect squares.
$-3\sqrt{(9)(10)}-5\sqrt{(4)(10)}$
Simplify.
$-3(3)\sqrt{10}-5(2)\sqrt{10}$
$-9\sqrt{10}-10\sqrt{10}$
Combine like radicands.
$-19\sqrt{10}$
Introductory Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-805-X
ISBN 13:
978-0-13417-805-9
Chapter 8 - Mid-Chapter Check Point - Page 594: 11
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