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    Cube Root of 82

    Cube Root Calculator
    Cube root of

    What is the cube root of 82?

    Answer

    ∛82 ≈
    4.3445

    Real cube root: the only number whose cube is 82.

    ≈ — rounded to 4 decimal places. 82 is not the cube of a rational number, so ∛82 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    82 = 2 × 41
    Take out of the root
    No prime appears three times, so ∛82 is already in simplest form.
    Between cubes
    4³ = 64 < 82 < 125 = 5³, so 4 < ∛82 < 5 and ∛82 ≈ 4.3445

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    https://calculat.io/en/number/cube-root/82Copy
    <a href="https://calculat.io/en/number/cube-root/82">Cube Root of 82 (∛82): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 82 (∛82): Exact Value and Decimal. ∛82 ≈ 4.3445. 82 has no cube factor but 1, so ∛82 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/82/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    79≈ 4.2908
    802∛10 ≈ 4.3089
    813∛3 ≈ 4.3267
    82≈ 4.3445
    83≈ 4.3621
    84≈ 4.3795
    85≈ 4.3968
    Recalculate with different values ↑

    FAQ

    What is the cube root of 82?

    ∛82 ≈ 4.3445

    Can ∛82 be simplified?

    No: no prime appears three times in 82, so its only cube factor is 1 and ∛82 is already in simplest form. Since 4³ = 64 < 82 < 125 = 5³, ∛82 lies between 4 and 5: ∛82 ≈ 4.3445.

    Is ∛82 a rational number?

    No: 82 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 ∛82 is irrational; its decimal never ends and never repeats: ∛82 ≈ 4.3445.

    See Also