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Root sum or integer? (Posted on 2013-08-18) Difficulty: 3 of 5
Determine which of these is larger:
       29√14 + 4√15  or,    124
*** For an extra challenge, solve this problem using only pen and paper.

No Solution Yet Submitted by K Sengupta    
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re(4): the hard way....slightly softened Comment 6 of 6 |
(In reply to re(3): the hard way....slightly softened by Steve Herman)

OK.

No offense.
I hope that you know at least 2 additional proofs supporting the 14.5 result : 1). (a+b)^2=a^2+2ab  , ignoring b^2 and   2). Newton's approximation.

All in all it was cute, albeit very easy puzzle.

  Posted by Ady TZIDON on 2013-08-19 10:16:40
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