Question

Let a and b be rational numbers. Is a - b rational or irrational?

Answer 1

Yes, a-b is rational number.

Answer 2

a - b is also a rational number.

Explanation:

Given : a and b be rational numbers.

We have to check whether a - b rational or irrational.

Since, Given a and b be rational numbers.

Let us consider any two rational numbers,

`a=(2)/(3)` and
`b=(1)/(3)`

we determine a - b as,

`a-b=(2)/(3)-(1)/(3)`

Simplify, we have,

`a-b=(2-1)/(3)=(1)/(3)`

Which is a rational number.

Thus, a - b is also a rational number.