Perfect Squares and Square Roots

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the product of an integer with itself. For example, 1, 4, 9, 16, and 25 are perfect squares.

Front

What is the square root of 16?

Back

The square root of 16 is 4, because 4 x 4 = 16.

Front

What is the square of 5?

Back

The square of 5 is 25, because 5 x 5 = 25.

Front

How do you calculate the area of a square?

Back

The area of a square is calculated by squaring the length of one of its sides: Area = (Side)².

Front

If the area of a square is 36 cm², what is the length of one side?

Back

The length of one side is 6 cm, because √36 = 6.

Front

What is the square root of 25?

Back

The square root of 25 is 5, because 5 x 5 = 25.

Front

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

Back

The square root of a perfect square is an integer. For example, the square root of 49 is 7.

Front

What is the square of 10?

Back

The square of 10 is 100, because 10 x 10 = 100.

Front

If a number is not a perfect square, what can we say about its square root?

Back

If a number is not a perfect square, its square root will be an irrational number.

Front

What is the square root of 1?

Back

The square root of 1 is 1, because 1 x 1 = 1.