2006-09-16 08:56:53 · 7 answers · asked by YKSVOKIAHCT... 2 in Science & Mathematics ➔ Mathematics
True. Any 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.
2006-09-16 09:03:01 · answer #1 · answered by Pascal 7 · 4⤊ 0⤋
yes
take example 1/4 and 5/7 are two rational numbers therefore
their products = 5/28 which is again rational number.
2006-09-16 09:05:18 · answer #2 · answered by Amar Soni 7 · 1⤊ 2⤋
true. Since it is impossible to form a irrational from two rational numbers. The result would be a ratio of the rationals!
2006-09-16 09:04:44 · answer #3 · answered by the redcuber 6 · 1⤊ 0⤋
From a quick thought it should be true.
Because if you are multiplying something together, the numbers will only go so far, they won't carry on. If you think about it, any fraction multiplied should be rational.
2006-09-16 08:59:54 · answer #4 · answered by PTP 4 · 0⤊ 0⤋
rational number is one that can be expressed in the form p/q where p & q are integers and q not =0
if A = p1/q1 and B = p2/q2 then the product AB is
AB = p1.p2/q1.q2 = p3/q3 and hence AB is rational....
the reverse is not true....
if A is irrational and B is irrational then AB can be rational.... think it out...!
2006-09-16 09:09:04 · answer #5 · answered by m s 3 · 0⤊ 0⤋
true as they will be in the form of p/q again with q a non zero number
2006-09-16 08:59:28 · answer #6 · answered by raj 7 · 0⤊ 0⤋
Are we doing your Homework??
2006-09-16 08:58:52 · answer #7 · answered by Anonymous · 2⤊ 3⤋