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    Cube Root of 83

    Cube Root Calculator
    Cube root of

    What is the cube root of 83?

    Answer

    ∛83 ≈
    4.3621

    Real cube root: the only number whose cube is 83.

    ≈ — rounded to 4 decimal places. 83 is not the cube of a rational number, so ∛83 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    83 is a prime number: no triple of equal factors.
    Between cubes
    4³ = 64 < 83 < 125 = 5³, so 4 < ∛83 < 5 and ∛83 ≈ 4.3621

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    https://calculat.io/en/number/cube-root/83Copy
    <a href="https://calculat.io/en/number/cube-root/83">Cube Root of 83 (∛83): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 83 (∛83): Exact Value and Decimal. ∛83 ≈ 4.3621. 83 has no cube factor but 1, so ∛83 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/83/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    802∛10 ≈ 4.3089
    813∛3 ≈ 4.3267
    82≈ 4.3445
    83≈ 4.3621
    84≈ 4.3795
    85≈ 4.3968
    86≈ 4.414
    Recalculate with different values ↑

    FAQ

    What is the cube root of 83?

    ∛83 ≈ 4.3621

    Can ∛83 be simplified?

    No: no prime appears three times in 83, so its only cube factor is 1 and ∛83 is already in simplest form. Since 4³ = 64 < 83 < 125 = 5³, ∛83 lies between 4 and 5: ∛83 ≈ 4.3621.

    Is ∛83 a rational number?

    No: 83 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 ∛83 is irrational; its decimal never ends and never repeats: ∛83 ≈ 4.3621.

    See Also