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    Cube Root of 222

    Cube Root Calculator
    Cube root of

    What is the cube root of 222?

    Answer

    ∛222 ≈
    6.055

    Real cube root: the only number whose cube is 222.

    ≈ — rounded to 4 decimal places. 222 is not the cube of a rational number, so ∛222 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    222 = 2 × 3 × 37
    Take out of the root
    No prime appears three times, so ∛222 is already in simplest form.
    Between cubes
    6³ = 216 < 222 < 343 = 7³, so 6 < ∛222 < 7 and ∛222 ≈ 6.055

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    https://calculat.io/en/number/cube-root/222Copy
    <a href="https://calculat.io/en/number/cube-root/222">Cube Root of 222 (∛222): Exact Value and Decimal</a>Copy
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    Cube Root of 222 (∛222): Exact Value and Decimal. ∛222 ≈ 6.055. 222 has no cube factor but 1, so ∛222 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/222/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    2166
    217≈ 6.0092
    220≈ 6.0368
    222≈ 6.055
    223≈ 6.0641
    225≈ 6.0822
    228≈ 6.1091
    Recalculate with different values ↑

    FAQ

    What is the cube root of 222?

    ∛222 ≈ 6.055

    Can ∛222 be simplified?

    No: no prime appears three times in 222, so its only cube factor is 1 and ∛222 is already in simplest form. Since 6³ = 216 < 222 < 343 = 7³, ∛222 lies between 6 and 7: ∛222 ≈ 6.055.

    Is ∛222 a rational number?

    No: 222 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 ∛222 is irrational; its decimal never ends and never repeats: ∛222 ≈ 6.055.

    See Also