Thank you for the opportunity to help you with your question!
rational number can be represented as p/q, with p and q both integers.
Thus the product of two rational numbers is p/q * r/s, with p,q,r, and s
integers. However, this is simply (pr)/(qs), and pr and qs are both
products of integers and therefore integers themselves. Ergo, the
product of two rational numbers can be represented as the quotient of
two integers and is itself rational.
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