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What is the conjugate of $\dfrac{1}{2}+ \dfrac{3}{2}i$?

Firstly, what is conjugation? And secondly, can you should the steps to doing this?

"$i$" is the imaginary unit.

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$\frac{1}{2}-\frac{3}{2}i$ – Potato Feb 3 '12 at 2:22
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Google is your friend! – JavaMan Feb 3 '12 at 3:48

1 Answer

up vote 8 down vote accepted

The conjugate of $a+bi$ is $a-bi$.

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What is conjugate? How did you arrive at this answer? :) – David Feb 3 '12 at 1:29
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@David: It is the definition of conjugate. Here is a reference: en.wikipedia.org/wiki/Complex_conjugate – Jonas Meyer Feb 3 '12 at 1:32
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What Joe said is of course correct. If you want a more geometric idea, you can think of it as reflection across the x-axis in the complex plane. – Jackson Walters Feb 3 '12 at 1:34
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@David There is nowhere to arrive from, conjugation is just defined this way. period. – Christian Rau Feb 3 '12 at 2:15

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