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Category: Algebra

a-b-c-30-and-a-b-c-gt-0-find-the-minimum-value-of-1-a-1-b-1-c-

Question Number 151070 by mathdanisur last updated on 18/Aug/21 a+b+c=30anda;b;c>0findtheminimumvalueof1a+1b+1c Commented by john_santu last updated on 18/Aug/21 $$\frac{\mathrm{1}}{\mathrm{a}}+\frac{\mathrm{1}}{\mathrm{b}}+\frac{\mathrm{1}}{\mathrm{c}}\geqslant\frac{\left(\mathrm{1}+\mathrm{1}+\mathrm{1}\right)^{\mathrm{2}} }{\mathrm{a}+\mathrm{b}+\mathrm{c}}=\frac{\mathrm{9}}{\mathrm{30}}=\frac{\mathrm{3}}{\mathrm{10}}…