Classify $(3+\sqrt{ 23 })-\sqrt{ 23 }$ as rational or irrational.

Given number is $(3+\sqrt{ 23 })-\sqrt{ 23 }$ .
The numbers which can be expressed in the form of $\frac{\mathbf{p}}{\mathbf{q}}$  where p and q are integers and $\mathrm{q}\ne 0$.
Rational numbers also include natural numbers, whole numbers, and integers.
Simplifying given number,
= $(3+\sqrt{23})-\sqrt{23} = 3$ 
3 is a rational number.
Hence, $(3+\sqrt{ 23 })-\sqrt{ 23 }$  is a rational number.