# [Explained] Find a rational between root2 and root3

To find find a rational between root2 and root3 we need to be clear about the definition of Rational number

## What is a rational number?

A rational number is a number that can be expressed in the form of x/y, where y must not be 0. (x and y being integer)

Let us understand with explanation.

## Explanation:

If we divide a rational number we get a number in either repeating decimals or terminating decimals.

On expressing √2 in decimals we get non-recurring and non-terminating decimals as √2 is an irrational number.

Similarly, on expressing √3 in decimals we get non-recurring and non-terminating decimals as √3 is an irrational number.

√2 = 1.414 (rounded to 3 decimal places) and √3 = 1.732 (rounded to 3 decimal places).

Below are the 3 decimal places rounded numbers in between 1.414 and 1.732

This shows that there are many rational numbers between √2 and √3, for example, 1.5

Thus, a rational number between √2 and √3 is 1.5

So for the question