Cube Root of 329

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Cube root of

What is the cube root of 329?

Answer

∛329 ≈
6.9034

Real cube root: the only number whose cube is 329.

≈ — rounded to 4 decimal places. 329 is not the cube of a rational number, so ∛329 is irrational: its decimal expansion never ends and never repeats.

Prime factors
329 = 7 × 47
Take out of the root
No prime appears three times, so ∛329 is already in simplest form.
Between cubes
6³ = 216 < 329 < 343 = 7³, so 6 < ∛329 < 7 and ∛329 ≈ 6.9034

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
3243∛12 ≈ 6.8683
325≈ 6.8753
327≈ 6.8894
329≈ 6.9034
330≈ 6.9104
331≈ 6.9174
3362∛42 ≈ 6.9521

FAQ

What is the cube root of 329?

∛329 ≈ 6.9034

Can ∛329 be simplified?

No: no prime appears three times in 329, so its only cube factor is 1 and ∛329 is already in simplest form. Since 6³ = 216 < 329 < 343 = 7³, ∛329 lies between 6 and 7: ∛329 ≈ 6.9034.

Is ∛329 a rational number?

No: 329 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 ∛329 is irrational; its decimal never ends and never repeats: ∛329 ≈ 6.9034.

See Also