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Discussion Response Post to: RMO Question

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27 Feb 2008 21:54:16 IST

Subject: Re:RMO Question

sboosy (3063)

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(5^1/2+ 5^1/3 + 5^1/4)/ 3 >= 5^{(1/2+1/3+1/4) 1/3}= 5^13/36

now 5^13/36> 5 ^13/39= 5^1/3

so (5^1/2+ 5^1/3 + 5^1/4) > 3 * 5^1/3

cubing both sides

(5^1/2+ 5^1/3 + 5^1/4)³> (27*5 = 135)> (125 = 5³)

(5^1/2+ 5^1/3 + 5^1/4)³> 5³

Hence (5^1/2+ 5^1/3 + 5^1/4) > 5

this reply: 10 points (with 2 Olaaa!! Perrrfect answer.

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