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    Cube Root of 85

    Cube Root Calculator
    Cube root of

    What is the cube root of 85?

    Answer

    ∛85 ≈
    4.3968

    Real cube root: the only number whose cube is 85.

    ≈ — rounded to 4 decimal places. 85 is not the cube of a rational number, so ∛85 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    85 = 5 × 17
    Take out of the root
    No prime appears three times, so ∛85 is already in simplest form.
    Between cubes
    4³ = 64 < 85 < 125 = 5³, so 4 < ∛85 < 5 and ∛85 ≈ 4.3968

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    https://calculat.io/en/number/cube-root/85Copy
    <a href="https://calculat.io/en/number/cube-root/85">Cube Root of 85 (∛85): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 85 (∛85): Exact Value and Decimal. ∛85 ≈ 4.3968. 85 has no cube factor but 1, so ∛85 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/85/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    82≈ 4.3445
    83≈ 4.3621
    84≈ 4.3795
    85≈ 4.3968
    86≈ 4.414
    87≈ 4.431
    882∛11 ≈ 4.448
    Recalculate with different values ↑

    FAQ

    What is the cube root of 85?

    ∛85 ≈ 4.3968

    Can ∛85 be simplified?

    No: no prime appears three times in 85, so its only cube factor is 1 and ∛85 is already in simplest form. Since 4³ = 64 < 85 < 125 = 5³, ∛85 lies between 4 and 5: ∛85 ≈ 4.3968.

    Is ∛85 a rational number?

    No: 85 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 ∛85 is irrational; its decimal never ends and never repeats: ∛85 ≈ 4.3968.

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