College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.5 - Complex Numbers - 1.5 Exercises - Page 131: 60

Answer

$-\sqrt{2}i=0-\sqrt{2}i$

Work Step by Step

$\displaystyle \frac{\sqrt{-36}}{\sqrt{-2}\sqrt{-9}}=\frac{6i}{\sqrt{2}i* 3i}=\frac{2}{\sqrt{2}i}=\frac{2}{\sqrt{2}i}*\frac{\sqrt{2}i}{\sqrt{2}i}=\frac{2\sqrt{2}i}{2i^{2}}=\frac{\sqrt{2}}{i}=\frac{\sqrt{2}i}{i*i}=\frac{\sqrt{2}i}{-1}=-\sqrt{2}i=0-\sqrt{2}i$
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