A perfect square is defined as a number that has integers as its square roots.

A perfect square is defined as a number that has integers as its square roots.

• A. A number with integer square roots
• B. A prime number
• C. A non-negative number only
• D. A number with decimal square roots

Answer: (A)

Perfect squares are numbers that can be written as n^2 where n is an integer. That means their square roots are integers. For example, 0, 1, 4, 9, and 16 are perfect squares because they equal 0^2, 1^2, 2^2, 3^2, and 4^2. So the statement that describes them best is a number with integer square roots. The other ideas don’t fit: a prime number can’t be a perfect square, since the square of any integer greater than 1 is not prime (and 1 isn’t prime); not every non-negative number is a perfect square (numbers like 2 or 7 aren’t squares); and having a decimal square root would mean the root isn’t an integer.

Perfect squares are numbers that can be written as n^2 where n is an integer. That means their square roots are integers. For example, 0, 1, 4, 9, and 16 are perfect squares because they equal 0^2, 1^2, 2^2, 3^2, and 4^2. So the statement that describes them best is a number with integer square roots. The other ideas don’t fit: a prime number can’t be a perfect square, since the square of any integer greater than 1 is not prime (and 1 isn’t prime); not every non-negative number is a perfect square (numbers like 2 or 7 aren’t squares); and having a decimal square root would mean the root isn’t an integer.