Anika Osborne

2022-02-02

How do you find the conjugate of the complex number $\frac{\sqrt{5}}{8}+\frac{1}{8}i$?

Allison Compton

Expert

Assume that you want the complex conjugate, change the sign of the imaginary part.
Explanation:
For any complex number $a+bi$, the complex conjugate of the number is $a-bi$ (which may also be written $a+\left(-b\right)i$.
So the complex conjugate of $\frac{\sqrt{5}}{8}+\frac{1}{8}i$
is $\frac{\sqrt{5}}{8}-\frac{1}{8}i$.

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