Estimating Non-Perfect 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 multiplied by itself. For example, 1, 4, 9, 16, and 25 are perfect squares.

Front

What is a Non-Perfect Square?

Back

A non-perfect square is a number that cannot be expressed as the product of an integer multiplied by itself. For example, 2, 3, 5, 6, and 7 are non-perfect squares.

Front

What is the opposite of cubing a number?

Back

The opposite of cubing a number is finding the cube root.

Front

How do you estimate the square root of a non-perfect square?

Back

To estimate the square root of a non-perfect square, find the two perfect squares it lies between and then approximate the value.

Front

What is the square root of 16?

Back

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

Front

What is the square root of 20?

Back

The square root of 20 is approximately 4.47, as it lies between the perfect squares 16 (4) and 25 (5).

Front

What two integers does the square root of 10 lie between?

Back

The square root of 10 lies between 3 and 4.

Front

What is the square root of 25?

Back

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

Front

How do you find the square root of a number?

Back

To find the square root of a number, determine which two perfect squares it is between and then estimate the value.

Front

What is the square root of 30?

Back

The square root of 30 is approximately 5.48, as it lies between the perfect squares 25 (5) and 36 (6).