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Question Number 152049 by mathdanisur last updated on 25/Aug/21

$$\mathrm{If}\mathrm{a};\mathrm{b}⩾1\mathrm{then}\mathrm{prove}\mathrm{that}:$$$${(\mathrm{a}+1+\frac{\mathrm{a}+1}{{\mathrm{a}}^2})}^{\mathbf{a}}\cdot {(\mathrm{b}+1+\frac{\mathrm{b}+1}{{\mathrm{b}}^2})}^{\mathbf{b}}⩾2^{2(1+\sqrt{\mathbf{ab}})}$$

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