Cube Root of 1/64

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What is the cube root of 1/64?

Answer

∛(1/64) =
1/4 = 0.25

Real cube root: the only number whose cube is 1/64.

Root of a fraction
∛(1/64) = ∛1/∛64 = 1/4

See Also

FAQ

What is the cube root of 1/64?

∛(1/64) = 1/4 = 0.25

Why is ∛(1/64) = 1/4?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(1/64) = ∛1/∛64 = 1/4, because 1³ = 1 and 4³ = 64.

Is ∛(1/64) a rational number?

Yes: ∛(1/64) = 1/4 = 0.25, a terminating decimal.