Question Number 153508 by mathdanisur last updated on 07/Sep/21
Answered by maged last updated on 08/Sep/21
$${x}=\mathrm{2},{y}=\mathrm{2},{z}=\mathrm{2}\Rightarrow\mathrm{2}^{\mathrm{2}} +\mathrm{2}^{\mathrm{2}} +\mathrm{2}^{\mathrm{2}} =\mathrm{12} \\ $$$${S}_{{min}} =\mathrm{2}+\mathrm{2}+\mathrm{2}+\mathrm{8}+\frac{\mathrm{1}}{\mathrm{4}+\mathrm{4}+\mathrm{4}} \\ $$$${S}_{{min}} =\mathrm{14}+\frac{\mathrm{1}}{\mathrm{12}}=\frac{\mathrm{169}}{\mathrm{12}}... \\ $$