If there are 16 non square natural numbers between two consecutive perfect square numbers, then what is the larger perfect square number?

It is known that there are 2x non- perfect square numbers between the squares of x and (x + 1).

It is given that there are 16 non- perfect square numbers between two consecutive perfect square numbers. We can write 16 = 2 × 8. So, there are 2 × 8 non square numbers between two consecutive square numbers, then the square numbers are squares of the numbers 8 and 8 + 1 = 9.

Thus, the square numbers are 8²=64 and 9²= 81.

∴ The larger square number is 81.