Prove that if (x, y>0) then (frac{1}{2}(x+y) geq sqrt{x y}). For which (x, y) does equality hold?

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Prove that if $x, y>0$ then $\frac{1}{2}(x+y) \geq \sqrt{x y}$. For which $x, y$ does equality hold?

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A Concise Introduction To Pure Mathematics

ISBN: 9781498722926

4th Edition

Authors: Martin Liebeck

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Question Posted: May 19, 2024 04:03 AM

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Prove that if (x, y>0) then (frac{1}{2}(x+y) geq sqrt{x y}). For which (x, y) does equality hold?

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A Concise Introduction To Pure Mathematics

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