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# Rational or Irrational Calculator

The word ‘**rational**’ is derived from ‘ratio’, which is a comparison of two or more values which is also known as a fraction.

## What is a Rational or Irrational Calculator?

'**Rational or Irrational Calculator**' is an online tool that helps to check whether the given number is rational or irrational. Online Rational or Irrational Calculator helps you to check whether the given number is rational or irrational in a few seconds.

### Rational or Irrational Calculator

**NOTE:** Enter natural numbers of 'a' and enter the values up to four digits only.

## How to Use Rational or Irrational Calculator?

Please follow the steps below on how to use the calculator:

**Step 1:**Enter the values of 'a' and 'x' in the given input boxes.**Step 2:**Click on the**"Check"**button to check whether the given number is rational or irrational.**Step 3:**Click on the**"Reset"**button to clear the fields and enter the new values.

## How to Find if the Value is Rational or Irrational?

A **rational number** is a number that is of the form p/q where p and q are integers and q is not equal to 0. For example 6/2, 15/3,...

**Irrational numbers** are those real numbers that cannot be represented in the form of a ratio p /q. In other words, those real numbers that are not rational numbers are known as irrational numbers. For example π, e, √13,...

Check whether the expression **a ^{1/x}** is rational or irrational.

Let's see an example to understand briefly.

**Solved Examples on Rational or Irrational Calculator**

**Example 1:**

Check 25^{1/2} is rational or irrational and verify it using the online rational or irrational calculator.

**Solution:**

Given:** **Expression: 25^{1/2}

a = 25 and x = 2

= (5^{2})^{1/2}

= 5/1 which is rational

**Example 2:**

Check 5^{1/2} is rational or irrational and verify it using the online rational or irrational calculator.

**Solution:**

Given:** **Expression: 5^{1/2}

a = 5 and x = 1

= (5)^{1/2}

= √5 which is irrational

**Example 3:**

Check 64^{1/3} is rational or irrational and verify it using the online rational or irrational calculator.

**Solution:**

Given:** **Expression: 64^{1/3}

a = 64 and x = 3

= (4^{3})^{1/3}

= 4 which is rational

Similarly, you can try the online rational or irrational calculator to check whether the given number is rational or irrational:

- 28
^{1/3} - 100
^{1/2}

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