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    Cube Root of 331

    Cube Root Calculator
    Cube root of

    What is the cube root of 331?

    Answer

    ∛331 ≈
    6.9174

    Real cube root: the only number whose cube is 331.

    ≈ — rounded to 4 decimal places. 331 is not the cube of a rational number, so ∛331 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    331 is a prime number: no triple of equal factors.
    Between cubes
    6³ = 216 < 331 < 343 = 7³, so 6 < ∛331 < 7 and ∛331 ≈ 6.9174

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    https://calculat.io/en/number/cube-root/331Copy
    <a href="https://calculat.io/en/number/cube-root/331">Cube Root of 331 (∛331): Exact Value and Decimal</a>Copy
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    Cube Root of 331 (∛331): Exact Value and Decimal. ∛331 ≈ 6.9174. 331 has no cube factor but 1, so ∛331 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/331/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    327≈ 6.8894
    329≈ 6.9034
    330≈ 6.9104
    331≈ 6.9174
    3362∛42 ≈ 6.9521
    3437
    3755∛3 ≈ 7.2112
    Recalculate with different values ↑

    FAQ

    What is the cube root of 331?

    ∛331 ≈ 6.9174

    Can ∛331 be simplified?

    No: no prime appears three times in 331, so its only cube factor is 1 and ∛331 is already in simplest form. Since 6³ = 216 < 331 < 343 = 7³, ∛331 lies between 6 and 7: ∛331 ≈ 6.9174.

    Is ∛331 a rational number?

    No: 331 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 ∛331 is irrational; its decimal never ends and never repeats: ∛331 ≈ 6.9174.

    See Also