sagnuhh

2020-11-27

prove that for all rational numbers r and s, rs is rational

curwyrm

Skilled2020-11-28Added 87 answers

Given that r and s are rational numbers. That is r and s can be written in the form

Obtain the value of

Note that, b, d is not equal to zero. Therefore, bd is not zero.

Further, note that as a, b, c and d are integers ac and bd are also integers.

Step 2

Therefore, note that the product

It is known that, the above is a definition of a rational number.

Thus, the product

Hence proved.

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