I saw this somewhere and I do not know how to prove it:$$ E(\sqrt{X})\approx \sqrt{E(X)}\bigg(1-\frac{Var(X)}{8E(X)^2}\bigg) , $$ for any random varibel concentrated aroud its mean.Could somebody kindly help
2026-04-22 06:17:49.1776838669
An inequality for expectation of square root of a random variable
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