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    Cube Root of 997

    Cube Root Calculator
    Cube root of

    What is the cube root of 997?

    Answer

    ∛997 ≈
    9.99

    Real cube root: the only number whose cube is 997.

    ≈ — rounded to 4 decimal places. 997 is not the cube of a rational number, so ∛997 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    997 is a prime number: no triple of equal factors.
    Between cubes
    9³ = 729 < 997 < 1,000 = 10³, so 9 < ∛997 < 10 and ∛997 ≈ 9.99

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    https://calculat.io/en/number/cube-root/997Copy
    <a href="https://calculat.io/en/number/cube-root/997">Cube Root of 997 (∛997): Exact Value and Decimal</a>Copy
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    Cube Root of 997 (∛997): Exact Value and Decimal. ∛997 ≈ 9.99. 997 has no cube factor but 1, so ∛997 is already simplest; it lies between 9 and 10.
    https://calculat.io/en/number/cube-root/997/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    8646∛4 ≈ 9.5244
    900≈ 9.6549
    925≈ 9.7435
    997≈ 9.99
    998≈ 9.9933
    9993∛37 ≈ 9.9967
    1,00010
    Recalculate with different values ↑

    FAQ

    What is the cube root of 997?

    ∛997 ≈ 9.99

    Can ∛997 be simplified?

    No: no prime appears three times in 997, so its only cube factor is 1 and ∛997 is already in simplest form. Since 9³ = 729 < 997 < 1,000 = 10³, ∛997 lies between 9 and 10: ∛997 ≈ 9.99.

    Is ∛997 a rational number?

    No: 997 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 ∛997 is irrational; its decimal never ends and never repeats: ∛997 ≈ 9.99.

    See Also