College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.4 - Page 143: 65

Answer

$\sqrt -9 + \sqrt -16 = 7i$

Work Step by Step

$\sqrt a+ \sqrt b \ne \sqrt (a+b).$ So, $\sqrt -9 + \sqrt -16 \ne \sqrt-25$ Using $\sqrt -b = i\sqrt b$ $\sqrt -9 + \sqrt -16 = $ $i\sqrt 9 + i\sqrt 16 $ $=3i+4i $ $=7i$
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