Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Review: 129

Answer

$6i$

Work Step by Step

$\sqrt {-4}+\sqrt {-16}$ =$\sqrt {-1\times4}+\sqrt {-1\times16}$ =$(\sqrt {-1}\times\sqrt {4})+(\sqrt {-1}\times\sqrt {16})$ =$(i\times\sqrt {4})+(i\times\sqrt {16})$ =$(i\times2)+(i\times4)$ =$(2i)+(4i)$ =$6i$
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