Question

How many numbers lie between squares of 99 and 100?

Answer 1

In general we can say that there are 2n numbers between the squares of the numbers n and (n + 1).

Here, n = 99 and (n + 1) = 100

Now, 2n = $198=2\times 99$

$\Rightarrow$ There are 198 non-perfect square numbers between the squares of the numbers 99 and 100.