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    Cube Root of 33

    Cube Root Calculator
    Cube root of

    What is the cube root of 33?

    Answer

    ∛33 ≈
    3.2075

    Real cube root: the only number whose cube is 33.

    ≈ — rounded to 4 decimal places. 33 is not the cube of a rational number, so ∛33 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    33 = 3 × 11
    Take out of the root
    No prime appears three times, so ∛33 is already in simplest form.
    Between cubes
    3³ = 27 < 33 < 64 = 4³, so 3 < ∛33 < 4 and ∛33 ≈ 3.2075

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    https://calculat.io/en/number/cube-root/33Copy
    <a href="https://calculat.io/en/number/cube-root/33">Cube Root of 33 (∛33): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 33 (∛33): Exact Value and Decimal. ∛33 ≈ 3.2075. 33 has no cube factor but 1, so ∛33 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/33/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    31≈ 3.1414
    322∛4 ≈ 3.1748
    32.7683.2
    33≈ 3.2075
    34≈ 3.2396
    35≈ 3.2711
    36≈ 3.3019
    Recalculate with different values ↑

    FAQ

    What is the cube root of 33?

    ∛33 ≈ 3.2075

    Can ∛33 be simplified?

    No: no prime appears three times in 33, so its only cube factor is 1 and ∛33 is already in simplest form. Since 3³ = 27 < 33 < 64 = 4³, ∛33 lies between 3 and 4: ∛33 ≈ 3.2075.

    Is ∛33 a rational number?

    No: 33 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 ∛33 is irrational; its decimal never ends and never repeats: ∛33 ≈ 3.2075.

    See Also