Simplify Square Roots

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 x 3 = 9.

Front

How do you simplify a square root?

Back

To simplify a square root, factor the number under the square root into its prime factors and look for pairs of the same factor. Each pair can be taken out of the square root as a single factor.

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 root of a perfect square?

Back

A perfect square is a number that can be expressed as the product of an integer with itself. The square root of a perfect square is always an integer.

Front

What is the square root of 25?

Back

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

Front

How do you simplify √50?

Back

To simplify √50, factor it into √(25 x 2). Since 25 is a perfect square, √50 simplifies to 5√2.

Front

What is the square root of 36?

Back

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

Front

What is the square root of 49?

Back

The square root of 49 is 7, because 7 x 7 = 49.

Front

How do you simplify √72?

Back

To simplify √72, factor it into √(36 x 2). Since 36 is a perfect square, √72 simplifies to 6√2.

Front

What is the square root of 64?

Back

The square root of 64 is 8, because 8 x 8 = 64.