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
Let us understand this with the help of the following 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). This shows that there are many rational numbers between √2 and √3, for example, 1.5