The rational number between root 2 and root 3 is 1.6.

Explanation:
A rational number is any number which can be expressed in the form of p/q where q is not equal to 0.

Given root 2 and root 3 are irrational numbers with a value of 1.414… and 1.732…

Now as we have these two numbers in decimal format, we can easily tell a rational number between them, in fact, there are infinite rational numbers between them.

Like 1.5, 1.51, 1.52, 1.6 and so on.

Taking any one randomly, say 1.6, we can say a rational number between root 2 and root 3 is 1.6.