Cube Root of 27/64

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Cube root of

What is the cube root of 27/64?

Answer

∛(27/64) =
3/4 = 0.75

Real cube root: the only number whose cube is 27/64.

Root of a fraction
∛(27/64) = ∛27/∛64 = 3/4

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FAQ

What is the cube root of 27/64?

∛(27/64) = 3/4 = 0.75

Why is ∛(27/64) = 3/4?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(27/64) = ∛27/∛64 = 3/4, because 3³ = 27 and 4³ = 64.

Is ∛(27/64) a rational number?

Yes: ∛(27/64) = 3/4 = 0.75, a terminating decimal.