Write a rational number between root 2 and root 3

Solution:

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.

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). 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

Write a rational number between root 2 and root 3

Summary:

A rational number between √2 and √3 is 1.5