1955 AHMSE Problem 20 asks when $\sqrt{25 - t^2} + 5 =0.$
I know square root of real numbers cannot be negative. So t cannot be real.
But I don't know whether imaginary numbers' square root can be negative or not. I think square roots can never be negative. Also, I don't think we can classify imaginary numbers as positive or negative.
Can square roots of imaginary numbers be negative?
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