## Calculus 8th Edition

Published by Cengage

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

#### Answer

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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