perplexus.info :: Just Math : Sum of squares

Sum of squares (Posted on 2012-01-28)

For the non-negative numbers a, b, c and d, such that:
a<=1, a+b<=5, a+b+c<=14, a+b+c+d<=30: Prove that sqrt(a)+sqrt(b)+sqrt(c)+sqrt(d)<=10

No Solution Yet Submitted by Ady TZIDON

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Subject	Author	Date
Proving the lemma	Steve Herman	2012-01-30 21:26:32
With just a little hand-waving (spoiler)	Steve Herman	2012-01-28 21:17:04

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