Perfect Squares & Square Roots

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, and 25 are perfect squares because they are equal to 1^2, 2^2, 3^2, 4^2, and 5^2 respectively.

Front

What is the square root of a number?

Back

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 25 is 5, because 5 x 5 = 25.

Front

Calculate the area of a square with a side length of 5 cm.

Back

The area of a square is calculated using the formula: Area = side length × side length. Therefore, Area = 5 cm × 5 cm = 25 cm².

Front

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

Back

The square root of a perfect square is always an integer. For example, the square root of 36 is 6, since 6 x 6 = 36.

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

If the area of a square is 64 cm², what is the length of one side?

Back

Front

What is the formula for finding the area of a square?

Back

The formula for finding the area of a square is: Area = side length × side length or Area = side length².

Front

Back

Front

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

Back

Front

What is the area of a square with a side length of 12 cm?

Back

The area is calculated as: Area = 12 cm × 12 cm = 144 cm².