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    Cube Root of 57

    Cube Root Calculator
    Cube root of

    What is the cube root of 57?

    Answer

    ∛57 ≈
    3.8485

    Real cube root: the only number whose cube is 57.

    ≈ — rounded to 4 decimal places. 57 is not the cube of a rational number, so ∛57 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    57 = 3 × 19
    Take out of the root
    No prime appears three times, so ∛57 is already in simplest form.
    Between cubes
    3³ = 27 < 57 < 64 = 4³, so 3 < ∛57 < 4 and ∛57 ≈ 3.8485

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    https://calculat.io/en/number/cube-root/57Copy
    <a href="https://calculat.io/en/number/cube-root/57">Cube Root of 57 (∛57): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 57 (∛57): Exact Value and Decimal. ∛57 ≈ 3.8485. 57 has no cube factor but 1, so ∛57 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/57/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    543∛2 ≈ 3.7798
    55≈ 3.803
    562∛7 ≈ 3.8259
    57≈ 3.8485
    58≈ 3.8709
    59≈ 3.893
    60≈ 3.9149
    Recalculate with different values ↑

    FAQ

    What is the cube root of 57?

    ∛57 ≈ 3.8485

    Can ∛57 be simplified?

    No: no prime appears three times in 57, so its only cube factor is 1 and ∛57 is already in simplest form. Since 3³ = 27 < 57 < 64 = 4³, ∛57 lies between 3 and 4: ∛57 ≈ 3.8485.

    Is ∛57 a rational number?

    No: 57 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 ∛57 is irrational; its decimal never ends and never repeats: ∛57 ≈ 3.8485.

    See Also