Cube Root of 1/729

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What is the cube root of 1/729?

Answer

∛(1/729) =
1/9 ≈ 0.1111

Real cube root: the only number whose cube is 1/729.

≈ — 1/9 = 0.1111…, a repeating decimal; rounded to 4 decimal places.

Root of a fraction
∛(1/729) = ∛1/∛729 = 1/9

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
0.0008≈ 0.0928
0.0010.1
1/10001/10 = 0.1
1/7291/9 ≈ 0.1111
0.0017280.12
1/5121/8 = 0.125
0.002≈ 0.126

FAQ

What is the cube root of 1/729?

∛(1/729) = 1/9 ≈ 0.1111

Why is ∛(1/729) = 1/9?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(1/729) = ∛1/∛729 = 1/9, because 1³ = 1 and 9³ = 729.

Is ∛(1/729) a rational number?

Yes: ∛(1/729) = 1/9 ≈ 0.1111 — a fraction whose decimal repeats, which is why it is shown with ≈.

See Also