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    Cube Root of 76

    Cube Root Calculator
    Cube root of

    What is the cube root of 76?

    Answer

    ∛76 ≈
    4.2358

    Real cube root: the only number whose cube is 76.

    ≈ — rounded to 4 decimal places. 76 is not the cube of a rational number, so ∛76 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    76 = 2 × 2 × 19 = 2² × 19
    Take out of the root
    No prime appears three times, so ∛76 is already in simplest form.
    Between cubes
    4³ = 64 < 76 < 125 = 5³, so 4 < ∛76 < 5 and ∛76 ≈ 4.2358

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    https://calculat.io/en/number/cube-root/76Copy
    <a href="https://calculat.io/en/number/cube-root/76">Cube Root of 76 (∛76): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 76 (∛76): Exact Value and Decimal. ∛76 ≈ 4.2358. 76 has no cube factor but 1, so ∛76 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/76/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    73≈ 4.1793
    74≈ 4.1983
    75≈ 4.2172
    76≈ 4.2358
    77≈ 4.2543
    78≈ 4.2727
    79≈ 4.2908
    Recalculate with different values ↑

    FAQ

    What is the cube root of 76?

    ∛76 ≈ 4.2358

    Can ∛76 be simplified?

    No: no prime appears three times in 76, so its only cube factor is 1 and ∛76 is already in simplest form. Since 4³ = 64 < 76 < 125 = 5³, ∛76 lies between 4 and 5: ∛76 ≈ 4.2358.

    Is ∛76 a rational number?

    No: 76 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 ∛76 is irrational; its decimal never ends and never repeats: ∛76 ≈ 4.2358.

    See Also