How to Identify an Irrational Number

The video tutorial focuses on identifying irrational numbers in a standardized math test question. It begins with an introduction to the topic, explaining that irrational numbers cannot be expressed as fractions. The video then reviews multiple-choice options, identifying the square root of 3 as irrational because it is a nonperfect square. Other options, such as the square root of 0 and decimal values that terminate or repeat, are identified as rational because they can be expressed as fractions.

What is an irrational number?

• A number that is always negative

• A number that can be expressed as a fraction

• A number that cannot be expressed as a fraction

• A number that is always positive

Why is the square root of 0 considered rational?

• Because it is equal to 0, a whole number

• Because it is an imaginary number

• Because it is equal to 1

• Because it is a nonperfect square

Which of the following is an example of an irrational number?

• Square root of 4

• 1.25

• 0.5

• Square root of 3

What characteristic makes a decimal number rational?

• It is a decimal with no pattern

• It is an infinite decimal

• It is a non-repeating decimal

• It is a repeating or terminating decimal

Which of the following numbers is rational?

• Square root of 5

• Square root of 2

• Pi (π)

• 0.333...