Question

For which of the following values of n, is the number 1641 + 27925 + 16n a perfect square?

Answer 1

Question: For which of the following values of n, is the number 1641 + 27925 + 16n a perfect square?

Solution: 1641 + 27925 = 29,566.

Now, The nearest perfect sqaure of 29566 is 29584.

So, the difference is 18.

Therefore, 16n must be equal to 18.

or, n = 1.125 [Ans]

This value of n was for the nearest perfect square that was greater than 29566.