Question

Let A and B be rational numbers.

The difference of A and B is.. (Always/Sometimes/Never rational.)
The product of A and B is.. (Always/Sometimes/Never rational.)
√AB.. (Always/Sometimes/Never rational.)

Answer 1

Sometimes

Always

Sometimes

hope this helps

Answer 2

Answer with explanation:

Rational Number: Those numbers which can be Represented in the form of
`(p)/(q)` where,p and q are any integer ,and q≠0.A rational number when represented in terms of decimals ,is either terminating or non terminating repeating.For example: 0.777....,0.58,0.23.

It is given that , A and B are rational numbers.

1. Difference of A and B is

a.Always Rational

2. Product of A and B is

a. Always Rational

3.
`√(AB)`

c. Sometimes Rational

For, example ,A=4,B=9

then ,
`√(4* 9)=2 * 3=6`→→Rational

And, If A=6, B=8

then ,
`√(6* 8)=\\\\=√(48)\\\\=4√(3)`→→Irrational