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    Cube Root of 998

    Cube Root Calculator
    Cube root of

    What is the cube root of 998?

    Answer

    ∛998 ≈
    9.9933

    Real cube root: the only number whose cube is 998.

    ≈ — rounded to 4 decimal places. 998 is not the cube of a rational number, so ∛998 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    998 = 2 × 499
    Take out of the root
    No prime appears three times, so ∛998 is already in simplest form.
    Between cubes
    9³ = 729 < 998 < 1,000 = 10³, so 9 < ∛998 < 10 and ∛998 ≈ 9.9933

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    https://calculat.io/en/number/cube-root/998Copy
    <a href="https://calculat.io/en/number/cube-root/998">Cube Root of 998 (∛998): Exact Value and Decimal</a>Copy
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    Cube Root of 998 (∛998): Exact Value and Decimal. ∛998 ≈ 9.9933. 998 has no cube factor but 1, so ∛998 is already simplest; it lies between 9 and 10.
    https://calculat.io/en/number/cube-root/998/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    900≈ 9.6549
    925≈ 9.7435
    997≈ 9.99
    998≈ 9.9933
    9993∛37 ≈ 9.9967
    1,00010
    1,001≈ 10.0033
    Recalculate with different values ↑

    FAQ

    What is the cube root of 998?

    ∛998 ≈ 9.9933

    Can ∛998 be simplified?

    No: no prime appears three times in 998, so its only cube factor is 1 and ∛998 is already in simplest form. Since 9³ = 729 < 998 < 1,000 = 10³, ∛998 lies between 9 and 10: ∛998 ≈ 9.9933.

    Is ∛998 a rational number?

    No: 998 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 ∛998 is irrational; its decimal never ends and never repeats: ∛998 ≈ 9.9933.

    See Also