Cube Root of 129

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Cube root of

What is the cube root of 129?

Answer

∛129 ≈
5.0528

Real cube root: the only number whose cube is 129.

≈ — rounded to 4 decimal places. 129 is not the cube of a rational number, so ∛129 is irrational: its decimal expansion never ends and never repeats.

Prime factors
129 = 3 × 43
Take out of the root
No prime appears three times, so ∛129 is already in simplest form.
Between cubes
5³ = 125 < 129 < 216 = 6³, so 5 < ∛129 < 6 and ∛129 ≈ 5.0528

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
126≈ 5.0133
127≈ 5.0265
1284∛2 ≈ 5.0397
129≈ 5.0528
131≈ 5.0788
132≈ 5.0916
1353∛5 ≈ 5.1299

FAQ

What is the cube root of 129?

∛129 ≈ 5.0528

Can ∛129 be simplified?

No: no prime appears three times in 129, so its only cube factor is 1 and ∛129 is already in simplest form. Since 5³ = 125 < 129 < 216 = 6³, ∛129 lies between 5 and 6: ∛129 ≈ 5.0528.

Is ∛129 a rational number?

No: 129 is not the cube of a rational number, and the cube root of a fraction p/q in lowest terms is rational only when p and q are both cubes. So ∛129 is irrational; its decimal never ends and never repeats: ∛129 ≈ 5.0528.

See Also