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    Cube Root of 323

    Cube Root Calculator
    Cube root of

    What is the cube root of 323?

    Answer

    ∛323 ≈
    6.8612

    Real cube root: the only number whose cube is 323.

    ≈ — rounded to 4 decimal places. 323 is not the cube of a rational number, so ∛323 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    323 = 17 × 19
    Take out of the root
    No prime appears three times, so ∛323 is already in simplest form.
    Between cubes
    6³ = 216 < 323 < 343 = 7³, so 6 < ∛323 < 7 and ∛323 ≈ 6.8612

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    https://calculat.io/en/number/cube-root/323Copy
    <a href="https://calculat.io/en/number/cube-root/323">Cube Root of 323 (∛323): Exact Value and Decimal</a>Copy
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    Cube Root of 323 (∛323): Exact Value and Decimal. ∛323 ≈ 6.8612. 323 has no cube factor but 1, so ∛323 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/323/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    2962∛37 ≈ 6.6644
    2973∛11 ≈ 6.6719
    300≈ 6.6943
    323≈ 6.8612
    3243∛12 ≈ 6.8683
    325≈ 6.8753
    327≈ 6.8894
    Recalculate with different values ↑

    FAQ

    What is the cube root of 323?

    ∛323 ≈ 6.8612

    Can ∛323 be simplified?

    No: no prime appears three times in 323, so its only cube factor is 1 and ∛323 is already in simplest form. Since 6³ = 216 < 323 < 343 = 7³, ∛323 lies between 6 and 7: ∛323 ≈ 6.8612.

    Is ∛323 a rational number?

    No: 323 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 ∛323 is irrational; its decimal never ends and never repeats: ∛323 ≈ 6.8612.

    See Also