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Question Number 174668 by Shrinava last updated on 07/Aug/22

Answered by behi834171 last updated on 08/Aug/22

$$\mathrm{\Sigma }\mathit{s}\mathit{e}\mathit{c}\mathit{A}⩾3\sqrt[3]{\mathrm{\Pi }\mathit{s}\mathit{e}\mathit{c}\mathit{A}}⩾3\sqrt[3]{{\mathit{s}\mathit{e}\mathit{c}}^3\frac{\mathit{\pi }}{3}}=6$$$$\mathrm{\Sigma }\mathit{c}\mathit{s}\mathit{c}\mathit{A}⩾3\sqrt[3]{\mathrm{\Pi }\mathit{c}\mathit{s}\mathit{c}\mathit{A}}⩾3\sqrt[3]{\mathit{c}\mathit{s}\mathit{c}\frac{\mathit{\pi }}{3}}=2\sqrt{3}$$$$\Rightarrow \mathit{L}\mathit{H}\mathit{S}⩾\sqrt{3}\times 6+9\times 2\sqrt{3}=24\sqrt{3}.◼$$

Commented by Shrinava last updated on 08/Aug/22

$$\mathrm{Cool}\mathrm{dear}\mathrm{Sir}\mathrm{thank}\mathrm{you}\mathrm{very}\mathrm{much}$$

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