Cube Root of 8/729

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Cube root of

What is the cube root of 8/729?

Answer

∛(8/729) =
2/9 ≈ 0.2222

Real cube root: the only number whose cube is 8/729.

≈ — 2/9 = 0.2222…, a repeating decimal; rounded to 4 decimal places.

Root of a fraction
∛(8/729) = ∛8/∛729 = 2/9

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
1/2161/6 ≈ 0.1667
0.0080.2
1/1251/5 = 0.2
8/7292/9 ≈ 0.2222
1/641/4 = 0.25
0.02≈ 0.2714
8/3432/7 ≈ 0.2857

FAQ

What is the cube root of 8/729?

∛(8/729) = 2/9 ≈ 0.2222

Why is ∛(8/729) = 2/9?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(8/729) = ∛8/∛729 = 2/9, because 2³ = 8 and 9³ = 729.

Is ∛(8/729) a rational number?

Yes: ∛(8/729) = 2/9 ≈ 0.2222 — a fraction whose decimal repeats, which is why it is shown with ≈.

See Also