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    Cube Root of 78

    Cube Root Calculator
    Cube root of

    What is the cube root of 78?

    Answer

    ∛78 ≈
    4.2727

    Real cube root: the only number whose cube is 78.

    ≈ — rounded to 4 decimal places. 78 is not the cube of a rational number, so ∛78 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    78 = 2 × 3 × 13
    Take out of the root
    No prime appears three times, so ∛78 is already in simplest form.
    Between cubes
    4³ = 64 < 78 < 125 = 5³, so 4 < ∛78 < 5 and ∛78 ≈ 4.2727

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    https://calculat.io/en/number/cube-root/78Copy
    <a href="https://calculat.io/en/number/cube-root/78">Cube Root of 78 (∛78): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 78 (∛78): Exact Value and Decimal. ∛78 ≈ 4.2727. 78 has no cube factor but 1, so ∛78 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/78/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    75≈ 4.2172
    76≈ 4.2358
    77≈ 4.2543
    78≈ 4.2727
    79≈ 4.2908
    802∛10 ≈ 4.3089
    813∛3 ≈ 4.3267
    Recalculate with different values ↑

    FAQ

    What is the cube root of 78?

    ∛78 ≈ 4.2727

    Can ∛78 be simplified?

    No: no prime appears three times in 78, so its only cube factor is 1 and ∛78 is already in simplest form. Since 4³ = 64 < 78 < 125 = 5³, ∛78 lies between 4 and 5: ∛78 ≈ 4.2727.

    Is ∛78 a rational number?

    No: 78 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 ∛78 is irrational; its decimal never ends and never repeats: ∛78 ≈ 4.2727.

    See Also