Is the square of a complex number always real and nonnegative?

Name: Is the square of a complex number always real and nonnegative?
Brand: Quizplus
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Quizplus · Accepted Answer

The square of a complex number can be real, but it can also be complex, and not necessarily nonnegative. For example, the square of the complex number $i$ (where $i$ is the imaginary unit, $i^2 = -1$) is $-1$, which is real and negative.

Is the Square of a Complex Number Always Real and Nonnegative