Cube Root of 27/512

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What is the cube root of 27/512?

Answer

∛(27/512) =
3/8 = 0.375

Real cube root: the only number whose cube is 27/512.

Root of a fraction
∛(27/512) = ∛27/∛512 = 3/8

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FAQ

What is the cube root of 27/512?

∛(27/512) = 3/8 = 0.375

Why is ∛(27/512) = 3/8?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(27/512) = ∛27/∛512 = 3/8, because 3³ = 27 and 8³ = 512.

Is ∛(27/512) a rational number?

Yes: ∛(27/512) = 3/8 = 0.375, a terminating decimal.