Which is larger, the tenth root of ten or the cube root of two?

arithmetic/tenth.root.of.ten New

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Which is larger, the tenth root of ten or the cube root of two?

Raise both to the 30th power.  (10^.1)^30 = 10^3 = 1000.  ((2)^(1/3))^30
= 2^10 = 1024.

[ Editor: so the cube root of two is the larger. ]

-- Matthew Daly <mwdaly@pobox.com>