I am not sure there is such a classification.
It cannot be odd/even
Odd numbers: 52 - 22 = 21
Even numbers: 52 - 32 = 16
It cannot be prime/composite
Prime: 32 - 22 = 5
Composite: 52 - 22 = 21
integer
Every whole number can be expressed as the quotient or ratio of other whole numbers, and whole numbers ARE integers.
All whole numbers are rational numbers because they can be expressed as a fraction of integers.
Very rarely. Square roots are only whole numbers for perfect squares.
They both can be expressed as fractions whereas irrational numbers can't be expressed as fractions.
By definition, ALL perfect squares are whole numbers!
The squares of whole numbers are called perfect squares. A perfect square is a number that can be expressed as the product of an integer multiplied by itself. For example, 1, 4, 9, 16, and 25 are perfect squares because they can be written as 1^2, 2^2, 3^2, 4^2, and 5^2, respectively.
integer
No. Perfect squares as the squares of the integers, whereas irrational squares as the squares of irrational numbers, but some irrational numbers squared are whole numbers, eg √2 (an irrational number) squared is a whole number.
Every whole number can be expressed as the quotient or ratio of other whole numbers, and whole numbers ARE integers.
There are an infinite amount of numbers that that have squares between 10 and 65
A rational number can be written as (one whole number) divided by (another whole number). An irrational number can't.
They are called perfect squares.
They are perfect squares.
All whole numbers are rational numbers because they can be expressed as a fraction of integers.
All whole numbers are rational numbers because they can be expressed as a fraction of integers.
Very rarely. Square roots are only whole numbers for perfect squares.