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    Cube Root of 84

    Cube Root Calculator
    Cube root of

    What is the cube root of 84?

    Answer

    ∛84 ≈
    4.3795

    Real cube root: the only number whose cube is 84.

    ≈ — rounded to 4 decimal places. 84 is not the cube of a rational number, so ∛84 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    84 = 2 × 2 × 3 × 7 = 2² × 3 × 7
    Take out of the root
    No prime appears three times, so ∛84 is already in simplest form.
    Between cubes
    4³ = 64 < 84 < 125 = 5³, so 4 < ∛84 < 5 and ∛84 ≈ 4.3795

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    https://calculat.io/en/number/cube-root/84Copy
    <a href="https://calculat.io/en/number/cube-root/84">Cube Root of 84 (∛84): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 84 (∛84): Exact Value and Decimal. ∛84 ≈ 4.3795. 84 has no cube factor but 1, so ∛84 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/84/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    813∛3 ≈ 4.3267
    82≈ 4.3445
    83≈ 4.3621
    84≈ 4.3795
    85≈ 4.3968
    86≈ 4.414
    87≈ 4.431
    Recalculate with different values ↑

    FAQ

    What is the cube root of 84?

    ∛84 ≈ 4.3795

    Can ∛84 be simplified?

    No: no prime appears three times in 84, so its only cube factor is 1 and ∛84 is already in simplest form. Since 4³ = 64 < 84 < 125 = 5³, ∛84 lies between 4 and 5: ∛84 ≈ 4.3795.

    Is ∛84 a rational number?

    No: 84 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 ∛84 is irrational; its decimal never ends and never repeats: ∛84 ≈ 4.3795.

    See Also