Zero is a rational number.
It is because, it can be written as 0/1, which is in the form a/b where, a and b (here a = 0 and b = 1) are both integers and b is not equal to 0.
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Unless the rational number is zero, the answer is irrational.
No, but the only exception is if the rational number is zero.
Not if the rational number is zero. In all other cases, the product is irrational.
The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.
It is usually irrational but it can be rational if the ration number in the pair is zero. So the correct answer is "either".