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.
Please let me know if you need any clarification for the doubts. I'm always happy to answer your questions. Looking forward to help you again. thank you. :)
Sep 21st, 2015
Did you know? You can earn $20 for every friend you invite to Studypool!