College Algebra (10th Edition)

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

Chapter 1 - Section 1.3 - Complex Numbers; Quadratic Equations in the Complex Number System - 1.3 Assess Your Understanding - Page 112: 97


$\sqrt{(-9)\cdot(-9)}$ does not equal $\sqrt{(-9)}\cdot\sqrt{(-9)}$

Work Step by Step

$\sqrt{(-9)}\cdot\sqrt{(-9)} =3i\cdot 3i=9i^{2}=9(-1)=-9$, while $\sqrt{(-9)\cdot(-9)}=\sqrt{81}=+9$
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