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A Sum of Consecutive Square Roots (Posted on 2016-08-10) Difficulty: 3 of 5
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)

No Solution Yet Submitted by Brian Smith    
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  Subject Author Date
Some ThoughtsPossible solutionbroll2016-08-10 08:48:31
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