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Why i the product of two rational number alway rational?

Select from the drop-down menu to correctly complete the proof. Let ab and cd repreent two rational number. Thi mean a, b, c, and d are
Chooe. , and
Chooe. . The product of the number i acbd, where bd i not 0. Becaue integer are cloed under
Chooe. , ​acbd​ i the ratio of two integer, making it a rational number. Integer or rational number



Answer :

The product of two rational numbers is always rational because (ac/bd​) is the ratio of two integers, making it a rational number.

We need to prove that the product of two rational numbers is always rational. A rational number is a number that can be stated as the quotient or fraction of two integers : a numerator and a non-zero denominator.

Let us consider two rational numbers, a/b and c/d. The variables "a", "b", "c", and "d" all represent integers. The denominators "b" and "d" are non-zero. Let the product of these two rational numbers be represented by "P".

P = (a/b)×(c/d)

P = (a×c)/(b×d)

The numerator is again an integer. The denominator is also a non-zero integer. Hence, the product is a rational number.

learn more about of rational numbers here

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