Q.1 How many natural numbers lie between and ? Between and ?
In general, we can say that there are 2n non-perfect square numbers between the squares of the numbers n and (n + 1).
Thus between squares of 9 and 10, the number of natural numbers is 2(9) = 18
Similarly, between squares of 11 and 12, the number of natural numbers is 2(11) = 22