Estimating Non-Perfect Square Roots

Front

What is a Non-Perfect Square?

Back

A Non-Perfect Square is a number that cannot be expressed as the square of an integer. For example, 2, 3, and 5 are Non-Perfect Squares.

Front

What is a Perfect Square?

Back

A Perfect Square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, and 16 are Perfect Squares.

Front

What is the opposite of cubing a number?

Back

Finding the cube root.

Front

What is the index in an exponent?

Back

The index is the number that indicates how many times the base is multiplied by itself. For example, in 27^(1/3), the index is 3.

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 closest Perfect Squares it lies between and average their square roots.

Front

What is the opposite of squaring a number?

Back

Finding the square root.

Front

What is the square root of 16?

Back

4, because 4 x 4 = 16.

Front

What is the square root of 25?

Back

5, because 5 x 5 = 25.

Front

Which two integers does the square root of 20 lie between?

Back

4 and 5, because 4^2 = 16 and 5^2 = 25.

Front

What is the approximate value of the square root of 10?

Back

Approximately 3.16, since it lies between 3^2 (9) and 4^2 (16).