Which is greater without use calculator? – math.stackexchange.com

Which is greater without use calculator? – math.stackexchange.com

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Which is greater between $$\sqrt[8]{8!}$$ and $$\sqrt[9]{9!}$$? I want to know if my proof is correct... \begin{align} \sqrt[8]{8!} &< \sqrt[9]{9!} \\ (8!)^{(1/8)} &< (9!)^{(1/9)} ...

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