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    Cube Root of 122

    Cube Root Calculator
    Cube root of

    What is the cube root of 122?

    Answer

    ∛122 ≈
    4.9597

    Real cube root: the only number whose cube is 122.

    ≈ — rounded to 4 decimal places. 122 is not the cube of a rational number, so ∛122 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    122 = 2 × 61
    Take out of the root
    No prime appears three times, so ∛122 is already in simplest form.
    Between cubes
    4³ = 64 < 122 < 125 = 5³, so 4 < ∛122 < 5 and ∛122 ≈ 4.9597

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    https://calculat.io/en/number/cube-root/122Copy
    <a href="https://calculat.io/en/number/cube-root/122">Cube Root of 122 (∛122): Exact Value and Decimal</a>Copy
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    Cube Root of 122 (∛122): Exact Value and Decimal. ∛122 ≈ 4.9597. 122 has no cube factor but 1, so ∛122 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/122/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    119≈ 4.9187
    1202∛15 ≈ 4.9324
    121≈ 4.9461
    122≈ 4.9597
    123≈ 4.9732
    124≈ 4.9866
    1255
    Recalculate with different values ↑

    FAQ

    What is the cube root of 122?

    ∛122 ≈ 4.9597

    Can ∛122 be simplified?

    No: no prime appears three times in 122, so its only cube factor is 1 and ∛122 is already in simplest form. Since 4³ = 64 < 122 < 125 = 5³, ∛122 lies between 4 and 5: ∛122 ≈ 4.9597.

    Is ∛122 a rational number?

    No: 122 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 ∛122 is irrational; its decimal never ends and never repeats: ∛122 ≈ 4.9597.

    See Also