Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Appendix G - Complex Numbers - G Exercises: 17

Answer

conjugate: $4i$ modulus: 4

Work Step by Step

To find the conjugate of a complex number, we reverse the sign of the imaginary part, like so: $\overline{-4i}=\overline{0-4i}=0+4i=4i$ We find the modulus using the formula $\sqrt{a^2+b^2}$ for $a+bi$: $|0-4i|=\sqrt{0^{2}+(-4)^{2}}=\sqrt{16}=4$
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