Classifying real numbers

The video tutorial explains how to classify real numbers into rational and irrational categories. It begins by introducing real numbers and their classification. Rational numbers are defined as numbers that can be expressed as fractions, while irrational numbers cannot be precisely written as fractions due to their non-repeating, non-terminating decimal nature. Examples such as pi and the square root of 7 are used to illustrate irrational numbers. The tutorial concludes with a practical example, demonstrating that the square root of 260 divided by 2 is an irrational number.

What are the two main categories of real numbers mentioned in the text?

How is a rational number defined in the context of the text?

What is an example of an irrational number provided in the text?

Why is the square root of 130 classified as an irrational number?

What conclusion does the teacher reach about the square root of 260 divided by 2?