Estimating 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.

Front

Estimate the square root of 50.

Back

Approximately 7.1, since 7^2 = 49 and 8^2 = 64.

Front

What is the approximate value of √64?

Back

8, because 8 x 8 = 64.

Front

How do you estimate square roots using a number line?

Back

Identify perfect squares around the number, then find the approximate position between them.

Front

What is the square root of 36?

Back

6, because 6 x 6 = 36.

Front

Estimate the value of √20.

Back

Approximately 4.5, since 4^2 = 16 and 5^2 = 25.

Front

Which two perfect squares are closest to 27?

Back

25 (5^2) and 36 (6^2).

Front

What is the approximate value of √11?

Back

Approximately 3.3, since 3^2 = 9 and 4^2 = 16.

Front

Estimate the value of √150.

Back

Approximately 12.2, since 12^2 = 144 and 13^2 = 169.

Front

What is the square root of 81?

Back

9, because 9 x 9 = 81.