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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(2): the hard way....slightly softened | Comment 3 of 6 |
(In reply to re: the hard way....slightly softened by Ady TZIDON)

14.5 is bigger than sqrt(210), as Ady seems to know.  There are many ways that this can be proven.  Here is one:

sqrt(14*15) =
sqrt((14.5 - .5)(14.5+.5)) =
sqrt((14.5)^2 - (.5)^2)) < 14.5

  Posted by Steve Herman on 2013-08-18 18:47:27
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