Cube Root of 125/729

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What is the cube root of 125/729?

Answer

∛(125/729) =
5/9 ≈ 0.5556

Real cube root: the only number whose cube is 125/729.

≈ — 5/9 = 0.5555…, a repeating decimal; rounded to 4 decimal places.

Root of a fraction
∛(125/729) = ∛125/∛729 = 5/9

See Also

Cube roots of nearby values

FAQ

What is the cube root of 125/729?

∛(125/729) = 5/9 ≈ 0.5556

Why is ∛(125/729) = 5/9?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(125/729) = ∛125/∛729 = 5/9, because 5³ = 125 and 9³ = 729.

Is ∛(125/729) a rational number?

Yes: ∛(125/729) = 5/9 ≈ 0.5556 — a fraction whose decimal repeats, which is why it is shown with ≈.