SOLUTION: hi, how do you find the sixth root of 256 without a calculator? thanks!

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Question 391023: hi, how do you find the sixth root of 256 without a calculator?
thanks!
Found 2 solutions by Alan3354, scott8148:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
256 = 2^8
The 6th root of 256 = the cube root of 16 = 2 * cube root of 2.
The cube root of 2 requires either a calculator, or a log or trig table, to my knowledge.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
take the cube root of the square root

sqrt(256) = 16

cuberoot(16) = cuberoot(8) * cuberoot(2) = 2 cuberoot(2)