# How to tell if a number is rational or irrational?

Let's understand rational and irrational numbers

## Answer: If a number can be written or can be converted to p/q form, where p and q are integers and q is a non-zero number, then it is said to be rational and if not then it is irrational

Let's look into some examples

## Explanation:

A rational number can be defined as any number that can be expressed or written in the** p/q** form, where 'p' and 'q' are integers and q is a non-zero number.

Example: 12/5, -9/13, 8/1

An irrational number on the other hand cannot be expressed in p/q form and the decimal expansion of an irrational number is non-repeating and non-terminating.

Example: √2, √7, √11, etc

With the help of these definitions, we can identify and categorize numbers as rational or irrational.