Yes. There is a pattern in square numbers. They are fun to play with.
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There is no such pattern because there are no even odd numbers. Odd numbers, by definition, are odd and therefore, not even.
Only whole numbers are even or odd, and the square root of 75 is not a whole number.
Even powers of prime numbers. Square numbers have an odd number of factors.
The procedure is the same whether the number is even or odd. There is no separate procedure for odd numbers.
The square of every positive or negative even whole number is a positive even whole number. The square of every positive or negative odd whole number is a positive odd whole number. There are an infinite number of each kind.