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Suppose bi and di are two complex purely imaginary numbers such that b and d are real.

Then

bi * di = bdi2 = -bd which is real.

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Q: Are 2 purely imaginary complex numbers multiplication complex?
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Can a number be both complex and imaginary?

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What is an unreal in math?

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Is the zero imaginary number?

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Is the difference between two real numbers a real number?

Yes, I can't think of any way that a real number minus another real number would be complex or purely imaginary. My answer is yes.


What are three rational numbers between the square root of -26 and the square root of -15?

There are no rational numbers between sqrt(-26) and sqrt(-15). The interval comprises purely imaginary numbers.