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    Cube Root of 60

    Cube Root Calculator
    Cube root of

    What is the cube root of 60?

    Answer

    ∛60 ≈
    3.9149

    Real cube root: the only number whose cube is 60.

    ≈ — rounded to 4 decimal places. 60 is not the cube of a rational number, so ∛60 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    60 = 2 × 2 × 3 × 5 = 2² × 3 × 5
    Take out of the root
    No prime appears three times, so ∛60 is already in simplest form.
    Between cubes
    3³ = 27 < 60 < 64 = 4³, so 3 < ∛60 < 4 and ∛60 ≈ 3.9149

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    https://calculat.io/en/number/cube-root/60Copy
    <a href="https://calculat.io/en/number/cube-root/60">Cube Root of 60 (∛60): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 60 (∛60): Exact Value and Decimal. ∛60 ≈ 3.9149. 60 has no cube factor but 1, so ∛60 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/60/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    57≈ 3.8485
    58≈ 3.8709
    59≈ 3.893
    60≈ 3.9149
    61≈ 3.9365
    62≈ 3.9579
    63≈ 3.9791
    Recalculate with different values ↑

    FAQ

    What is the cube root of 60?

    ∛60 ≈ 3.9149

    Can ∛60 be simplified?

    No: no prime appears three times in 60, so its only cube factor is 1 and ∛60 is already in simplest form. Since 3³ = 27 < 60 < 64 = 4³, ∛60 lies between 3 and 4: ∛60 ≈ 3.9149.

    Is ∛60 a rational number?

    No: 60 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 ∛60 is irrational; its decimal never ends and never repeats: ∛60 ≈ 3.9149.

    See Also