Respuesta :

Yes, a-b is rational number.

Answer:

a - b is also a rational number.

Step-by-step 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,

[tex]a=\frac{2}{3}[/tex] and [tex]b=\frac{1}{3}[/tex]

we determine a - b as,

[tex]a-b=\frac{2}{3}-\frac{1}{3}[/tex]

Simplify, we have,

[tex]a-b=\frac{2-1}{3}=\frac{1}{3}[/tex]

Which is a rational number.

Thus, a - b is also a rational number.