Estimating Irrational Numbers

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction, meaning it cannot be written as a ratio of two integers. Examples include √2, π, and e.

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

Which of the following is NOT a perfect square: 196, 169, 121, 132?

Back

132 is NOT a perfect square.

Front

Between which two integers is the square root of 77?

Back

The square root of 77 is between 8 and 9.

Front

Which number is a perfect square: 225, 132, 99, 110?

Back

225 is a perfect square.

Front

What is the best estimate for √28?

Back

The best estimate for √28 is 5.3.

Front

Between which two whole numbers is the square root of 20?

Back

The square root of 20 is between 4 and 5.

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 based on their square roots.

Front

What is the square root of 25?

Back

The square root of 25 is 5.

Front

What is the square root of 36?

Back

The square root of 36 is 6.