The square of an even number is always even and the square of an odd number is always odd. This means parity remains the same. So, if the original number is even or odd, its square follows the same parity.
Class 8 Mathematics Textbook Chapter 1 A Square and A Cube question answer
Class 8 Mathematics Chapter 1 A Square and A Cube solutions
Parity means whether a number is even or odd. If we square an even number (like 4), we get an even result (16). If we square an odd number (like 5), the result (25) is also odd. This shows that the square of any number maintains the same parity. Thus, the parity of a number and its square is always the same—both even or both odd.
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