Squares & Square Roots

Front

What is a square number?

Back

A square number is an integer that is the square of another integer. For example, 1, 4, 9, 16, and 25 are square numbers because they can be expressed as 1², 2², 3², 4², and 5² respectively.

Front

What is a square root?

Back

A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because 3 × 3 = 9.

Front

How do you find the square root of a perfect square?

Back

To find the square root of a perfect square, you can determine which integer multiplied by itself equals the perfect square. For example, √16 = 4 because 4 × 4 = 16.

Front

What is the square root of 25?

Back

The square root of 25 is 5, since 5 × 5 = 25.

Front

What is the relationship between squares and square roots?

Back

The square of a number is the result of multiplying that number by itself, while the square root is the value that, when squared, returns the original number.

Front

Is 125 a perfect square?

Back

No, 125 is not a perfect square because there is no integer that, when multiplied by itself, equals 125.

Front

Is 500 a perfect square?

Back

No, 500 is not a perfect square because there is no integer that, when multiplied by itself, equals 500.

Front

How do you determine between which two integers a square root lies?

Back

To determine between which two integers a square root lies, find the perfect squares that are closest to the number. For example, √20 is between 4 (4²) and 5 (5²).

Front

What is the square root of 200?

Back

The square root of 200 is approximately 14.14, which lies between the integers 14 and 15.

Front

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

Back

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