Prove that (a1 + a2 + ... + an)(1/a1 + 1/a2 + ... + 1/an) ≥ n^2 for a1,a2,a...,an ﹥ 0

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Given a1 + a2 +...+ an = m, Prove (1/a1 + 1/a2 +...+ 1/an) greater than or equal to n^2/m Given a1 + a2 +...+ an = m, Prove (1/a1 + 1/a2 +...+ 1/an) greater than or equal to n^2/m
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