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Earn +20 ptsQ: Is the product of two pure imaginary numbers a real number?
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Is the product of two imaginary numbers always a pure imaginary number?
no
Can a complex number be imaginary?
Yes, imaginary numbers are a subset of complex numbers.
Is every complex number a pure imaginary number?
No. For example the number 1+i. Pure imaginary complex numbers are of the form 0 + a*i, where a is a non-zero real number.
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).
Can a number be imaginary but not pure imaginary?
Yes. The number 1 + i is imaginary but not pure imaginary, while 5i is pure imaginary.
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