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. For example, the square root of 9 is 3, because 3 x 3 = 9.

Front

Estimate the square root of 50.

Back

Between 7 and 8 and closer to 7.

Front

What is the relationship between perfect squares and square roots?

Back

Perfect squares are numbers that are the square of an integer. Their square roots are whole numbers. For example, 1, 4, 9, 16, and 25 are perfect squares.

Front

Estimate the square root of 20.

Back

Between 4 and 5 and closer to 4.

Front

How do you determine between which two integers a square root falls?

Back

Find the perfect squares that are closest to the number. For example, for √51, the closest perfect squares are 49 (7^2) and 64 (8^2), so √51 falls between 7 and 8.

Front

Estimate the square root of 30.

Back

Between 5 and 6 and closer to 6.

Front

What is the square root of 64?

Back

8, because 8 x 8 = 64.

Front

Estimate the square root of 10.

Back

Between 3 and 4 and closer to 3.

Front

What is the square root of 81?

Back

9, because 9 x 9 = 81.

Front

Estimate the square root of 45.

Back

Between 6 and 7 and closer to 7.