It can be shown that for any positive integer n, the infinitely nested radical expression n+n+n+⋯ 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, as in 3+5.
An infinitely nested radical expression is one in which the radicals continue to an infinite extent.
Your answer seems reasonable.
Find out if you're right!