Calculus 8th Edition

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

Appendix G - Complex Numbers - G Exercises - Page A55: 15


conjugate: $12+5i$ modulus: 13

Work Step by Step

To find the conjugate of a complex number, we reverse the sign of the imaginary part, like so: $\overline{12-5i}=12+5i$ We find the modulus using the formula $\sqrt{a^2+b^2}$ for $a+bi$: $|12-5i|=\sqrt{12^{2}+(-5)^{2}}=\sqrt{144+25}=\sqrt{169}=13$
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