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    Cube Root of 255

    Cube Root Calculator
    Cube root of

    What is the cube root of 255?

    Answer

    ∛255 ≈
    6.3413

    Real cube root: the only number whose cube is 255.

    ≈ — rounded to 4 decimal places. 255 is not the cube of a rational number, so ∛255 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    255 = 3 × 5 × 17
    Take out of the root
    No prime appears three times, so ∛255 is already in simplest form.
    Between cubes
    6³ = 216 < 255 < 343 = 7³, so 6 < ∛255 < 7 and ∛255 ≈ 6.3413

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    https://calculat.io/en/number/cube-root/255Copy
    <a href="https://calculat.io/en/number/cube-root/255">Cube Root of 255 (∛255): Exact Value and Decimal</a>Copy
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    Cube Root of 255 (∛255): Exact Value and Decimal. ∛255 ≈ 6.3413. 255 has no cube factor but 1, so ∛255 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/255/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    247≈ 6.2743
    2482∛31 ≈ 6.2828
    2505∛2 ≈ 6.2996
    255≈ 6.3413
    2564∛4 ≈ 6.3496
    257≈ 6.3579
    258≈ 6.3661
    Recalculate with different values ↑

    FAQ

    What is the cube root of 255?

    ∛255 ≈ 6.3413

    Can ∛255 be simplified?

    No: no prime appears three times in 255, so its only cube factor is 1 and ∛255 is already in simplest form. Since 6³ = 216 < 255 < 343 = 7³, ∛255 lies between 6 and 7: ∛255 ≈ 6.3413.

    Is ∛255 a rational number?

    No: 255 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 ∛255 is irrational; its decimal never ends and never repeats: ∛255 ≈ 6.3413.

    See Also