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.
If we find the square of an integer, say a, then a × a = a2.
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, a2 > 0
- a = 0, a2 = 0
- a < 0, a2 > 0
Hence, a2 is greater than or equal to 0.