## Puzzle Details

Which is larger:

the tenth root of 10, or the cube root of 2?

Puzzle Copyright © Kevin Stone

**Answer:**Cube root of 2.

We have 10^{1/10} vs 2^{1/3}.

Raise each to the power of 30 (since 10 x 3 = 30) to give:

10^{1/10 x 30} vs 2^{1/3 x 30}, which simplifies to:

10^{3} vs 2^{10}, which gives:

1000 vs 1024.

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