It can be shown that for any positive integer n, the infinitely nested radical expression

Question

(n+(n+(n+....)^1/2)^1/2)^1/2
equals a finite number. What is the largest positive integer n≤999 such that this expression is equal to a positive integer?

Details and assumptions
A nested radical expression is one which contains a radical inside another one, as in
((5^1/2)+3)^1/2

An infinitely nested radical expression is one in which the radicals continue to an infinite extent.

Answer 1

SO WHAT'S the Correct Answer ??

Answer 2

991

Answer 3

991 us wrong !!!

Answer 4

992