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    Cube Root of 329

    Cube Root Calculator
    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

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    https://calculat.io/en/number/cube-root/329Copy
    <a href="https://calculat.io/en/number/cube-root/329">Cube Root of 329 (∛329): Exact Value and Decimal</a>Copy
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    Cube Root of 329 (∛329): Exact Value and Decimal. ∛329 ≈ 6.9034. 329 has no cube factor but 1, so ∛329 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/329/generated.jpgCopy

    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
    Recalculate with different values ↑

    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