Estimating Irrational Numbers

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction. It cannot be written as a ratio of two integers.

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, 16, and 25 are perfect squares.

Front

How do you estimate the square root of a number?

Back

To estimate the square root of a number, find two perfect squares between which the number lies. The square root will be between the square roots of those two perfect squares.

Front

What is the square root of 44 approximately between which two integers?

Back

The square root of 44 is approximately between 6 and 7.

Front

Which number has a square root that could be estimated at 8.9?

Back

The number 80 has a square root that could be estimated at 8.9.

Front

What is the square root of 225?

Back

The square root of 225 is 15.

Front

Which number has a square root that is between 7 and 8?

Back

The number 60 has a square root that is between 7 and 8.

Front

What is the best estimate for √28?

Back

The best estimate for √28 is 5.3.

Front

What is the square root of a number?

Back

The square root of a number is a value that, when multiplied by itself, gives the original number.

Front

How can you determine if a number is a perfect square?

Back

A number is a perfect square if its square root is an integer.