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    Cube Root of 30

    Cube Root Calculator
    Cube root of

    What is the cube root of 30?

    Answer

    ∛30 ≈
    3.1072

    Real cube root: the only number whose cube is 30.

    ≈ — rounded to 4 decimal places. 30 is not the cube of a rational number, so ∛30 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    30 = 2 × 3 × 5
    Take out of the root
    No prime appears three times, so ∛30 is already in simplest form.
    Between cubes
    3³ = 27 < 30 < 64 = 4³, so 3 < ∛30 < 4 and ∛30 ≈ 3.1072

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    https://calculat.io/en/number/cube-root/30Copy
    <a href="https://calculat.io/en/number/cube-root/30">Cube Root of 30 (∛30): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 30 (∛30): Exact Value and Decimal. ∛30 ≈ 3.1072. 30 has no cube factor but 1, so ∛30 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/30/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    28≈ 3.0366
    29≈ 3.0723
    29.5≈ 3.0899
    30≈ 3.1072
    31≈ 3.1414
    322∛4 ≈ 3.1748
    32.7683.2
    Recalculate with different values ↑

    FAQ

    What is the cube root of 30?

    ∛30 ≈ 3.1072

    Can ∛30 be simplified?

    No: no prime appears three times in 30, so its only cube factor is 1 and ∛30 is already in simplest form. Since 3³ = 27 < 30 < 64 = 4³, ∛30 lies between 3 and 4: ∛30 ≈ 3.1072.

    Is ∛30 a rational number?

    No: 30 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 ∛30 is irrational; its decimal never ends and never repeats: ∛30 ≈ 3.1072.

    See Also