# Can the square of an integer be a negative number?

The square of a number is the value of the number raised to the power of 2.

## Answer: No, the square of an integer can never be a negative number.

The square of a number can be found by multiplying a number by itself.

**Explanation:**

If we find the square of an integer, say a, then a × a = a^{2}.

If a < 0, that is, a is a negative number, then the product of 'a' with itself is a positive number as the product of two negative numbers is always a positive number. So, we have

- a > 0, a
^{2}> 0 - a = 0, a
^{2}= 0 - a < 0, a
^{2}> 0

Hence, a^{2} is greater than or equal to 0.

### Therefore, the square of an integer cannot be a negative number.

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