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    Cube Root of 77

    Cube Root Calculator
    Cube root of

    What is the cube root of 77?

    Answer

    ∛77 ≈
    4.2543

    Real cube root: the only number whose cube is 77.

    ≈ — rounded to 4 decimal places. 77 is not the cube of a rational number, so ∛77 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    77 = 7 × 11
    Take out of the root
    No prime appears three times, so ∛77 is already in simplest form.
    Between cubes
    4³ = 64 < 77 < 125 = 5³, so 4 < ∛77 < 5 and ∛77 ≈ 4.2543

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    https://calculat.io/en/number/cube-root/77Copy
    <a href="https://calculat.io/en/number/cube-root/77">Cube Root of 77 (∛77): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 77 (∛77): Exact Value and Decimal. ∛77 ≈ 4.2543. 77 has no cube factor but 1, so ∛77 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/77/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    74≈ 4.1983
    75≈ 4.2172
    76≈ 4.2358
    77≈ 4.2543
    78≈ 4.2727
    79≈ 4.2908
    802∛10 ≈ 4.3089
    Recalculate with different values ↑

    FAQ

    What is the cube root of 77?

    ∛77 ≈ 4.2543

    Can ∛77 be simplified?

    No: no prime appears three times in 77, so its only cube factor is 1 and ∛77 is already in simplest form. Since 4³ = 64 < 77 < 125 = 5³, ∛77 lies between 4 and 5: ∛77 ≈ 4.2543.

    Is ∛77 a rational number?

    No: 77 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 ∛77 is irrational; its decimal never ends and never repeats: ∛77 ≈ 4.2543.

    See Also