What kind of number's arithmetic square root is the exact value if the arithmetic square root of a number is not a rational number

What kind of number's arithmetic square root is the exact value if the arithmetic square root of a number is not a rational number

The arithmetic square root of a complete square number is the exact value, such as 1,4,9121144,1.69,2.25,0.0001 and so on
If the arithmetic square root of a number is either rational or irrational, such as root 2, etc