# Write a rational number between root 2 and root 3

A rational number is a set of numbers that are in the form of p/q and where p and q are both integers, q ≠ 0.

## Answer: A rational number between √2 and √3 is 1.5

Here's the solution.

**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 deciaml places) and √3 = 1.732 (rounded to 3 decimal places) . there are many rational numbers in between √2 and √3 example 1.5