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.

Tags

CCSS.6.EE.A.1

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.

Tags

CCSS.8.EE.A.2

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.

Tags

CCSS.8.EE.A.2

Front

What is the square root of 25?

Back

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

Tags

CCSS.8.EE.A.2

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.

Tags

CCSS.8.EE.A.2

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).

Tags

CCSS.8.NS.A.2

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.

Tags

CCSS.8.NS.A.2

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.

Tags

CCSS.8.EE.A.2