perplexus.info :: Just Math : Nested Square Roots

Nested Square Roots (Posted on 2025-02-07)

For how many positive integers n is √(n + √(n + √(n + √n))) an integer?

No Solution Yet Submitted by Danish Ahmed Khan

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

An amusing experiment

| Comment 2 of 4 |

Try googling:

√(100010000+ √(100010000 + √(100010000+ √100010000)))

Posted by broll on 2025-02-09 02:05:38

Please log in:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info