Question

The product of two rational numbers

Answer 1

'The product of two rational numbers is rational'

Explanation:

Statement 'The product of two rational numbers'.

We know that, 'The product of two rational numbers is rational'.

We can prove it,

Let
`(a)/(b)` and
`(p)/(q)` are two rational number.

Where, a,b,p,q are integers and
`b,q\\eq 0`

Now, Product the two rational number

`(a)/(b)* (p)/(q)=(ap)/(bq)`

Since, ap and bq are integers and
`bq\\eq 0`

Thus,
`(ap)/(bq)` is an fraction with integers in the numerator and denominator making it a rational number.

Therefore, 'The product of two rational numbers is rational' is true.