A non-zero complex number is like 5-i2.
A lot of complex numbers can make interesting designs. Please see the below
LINK for an example and an image.
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A rational number is always the result of dividing an integer when the divisor is nonzero.
Yes! it is.
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Yes, as long as the two nonzero numbers are themselves rational. (Since a rational number is any number that can be expressed as the quotient of two rational numbers, or any number that can be written as a fraction using only rational numbers.) If one of the nonzero numbers is not rational, the quotient will most likely be irrational.