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Infinitely Nested Surds

Algebra Level 3

\[ \large\sqrt{9\sqrt{27\sqrt{128\sqrt{9\sqrt{27\sqrt{128\sqrt{...}}}}}}} = \ ? \]

Image credit: Lachlan Fearnley

128 27 18 9

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Excel in math and science

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It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

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including olympiad champions, researchers, and professionals.

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by Wee Xian Bin

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