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Root

Algebra Level 1

Does there exist a positive integer \(n\) such that \[\sqrt{2 \times \sqrt{3 \times \sqrt{\dots \sqrt{(n-1)\times {\sqrt{n}}}}}}\ \ {\large{>3}\hspace{0.3mm}?}\]

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Excel in math and science

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by Áron Bán-Szabó

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