Is The Product Of Two Rational Numbers Always An Irrational Number?


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Oddman answered
The product of two rational numbers is always a rational number.

If a, b, c, and d are integers, b and d not zero, then
(a/b)*(c/d) = (ac)/(bd)
The set of integers is closed for multiplication (any product of integers is an integer), so any product of rationals will be rational.

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