Cube Root of 1/512

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Cube root of

What is the cube root of 1/512?

Answer

∛(1/512) =
1/8 = 0.125

Real cube root: the only number whose cube is 1/512.

Root of a fraction
∛(1/512) = ∛1/∛512 = 1/8

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
1/10001/10 = 0.1
1/7291/9 ≈ 0.1111
0.0017280.12
1/5121/8 = 0.125
0.002≈ 0.126
1/3431/7 ≈ 0.1429
1/2161/6 ≈ 0.1667

FAQ

What is the cube root of 1/512?

∛(1/512) = 1/8 = 0.125

Why is ∛(1/512) = 1/8?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(1/512) = ∛1/∛512 = 1/8, because 1³ = 1 and 8³ = 512.

Is ∛(1/512) a rational number?

Yes: ∛(1/512) = 1/8 = 0.125, a terminating decimal.

See Also