Home > Just Math
A Sum of Consecutive Square Roots (Posted on 20160810) 

Show every positive integer power of 1+sqrt(2) can be expressed as a sum of square roots of consecutive integers.
(1+sqrt[2])^n = sqrt(x) + sqrt(x+1)
Comments: (
You must be logged in to post comments.)


Please log in:
Forums (0)
Newest Problems
Random Problem
FAQ 
About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On
Chatterbox:
