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Earn +20 ptsQ: Product of two imaginary number is real or imaginary?
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Is the product of two pure imaginary numbers a real number?
Yes it is.
Is the product of two imaginary numbers always a pure imaginary number?
no
Can a complex number can't be a pure imaginary number?
A complex number can be a pure imaginary, or a pure real number, or a combination of the two. The form for a complex number is a + bi, where a & b can be any real numbers (so if a = 0, then the number is pure imaginary; and if b=0, then it is a real number).
Is the square root a real number?
The square roots of any positive real number are a positive and a negative real number. The square roots of any negative real number are a positive and a negative imaginary number. The square roots of any imaginary number or any complex number are two complex numbers.
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.
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