Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.6 - Complex Numbers - 1.6 Exercises - Page 64: 53

Answer

$0+7i$

Work Step by Step

$\sqrt{-49}$ Rewrite this expression as $(\sqrt{-1})(\sqrt{49})$: $\sqrt{-49}=(\sqrt{-1})(\sqrt{49})=...$ Evaluate $\sqrt{49}$: $...=7\sqrt{-1}=...$ Since $\sqrt{-1}=i$, this expression becomes: $...=7i=...$ Rewrite in $a+bi$ form: $...=0+7i$
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