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

Here,The given numbers are 99 and 100.So,

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

Clearly n=99
Now, 2n =2×99=198

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