Perfect Squares

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16, 25, 36, etc.

Front

List the first five perfect squares.

Back

The first five perfect squares are 1 (1^2), 4 (2^2), 9 (3^2), 16 (4^2), and 25 (5^2).

Front

What is the square root of 36?

Back

The square root of 36 is 6, since 6 x 6 = 36.

Front

How do you determine if a number is a perfect square?

Back

To determine if a number is a perfect square, find its square root and check if the result is an integer.

Front

What is the square of 7?

Back

The square of 7 is 49, since 7 x 7 = 49.

Front

What is the relationship between perfect squares and their square roots?

Back

The square root of a perfect square is always an integer, and squaring that integer will return the original perfect square.

Front

What is the next perfect square after 36?

Back

The next perfect square after 36 is 49, which is 7^2.

Front

What is the square of 1?

Back

The square of 1 is 1, since 1 x 1 = 1.

Front

What is the square of 13?

Back

The square of 13 is 169, since 13 x 13 = 169.

Front

Can negative numbers be perfect squares?

Back

No, negative numbers cannot be perfect squares because the square of any real number (positive or negative) is always non-negative.