Prove that ((a+b)/2)^(a+b) ge a^(b) .b^(...

Prove that `((a+b)/2)^(a+b) ge a^(b) .b^(a)[ a, b in N] `

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The correct Answer is:

` :. (a+b)/2 ge (2ab)/(a+b) ge (a^(b)b^(a))^(1(a+b))rArr((a+b)/2)^(a+b)gea^(b).b^(a)`

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