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    Cube Root of 124

    Cube Root Calculator
    Cube root of

    What is the cube root of 124?

    Answer

    ∛124 ≈
    4.9866

    Real cube root: the only number whose cube is 124.

    ≈ — rounded to 4 decimal places. 124 is not the cube of a rational number, so ∛124 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    124 = 2 × 2 × 31 = 2² × 31
    Take out of the root
    No prime appears three times, so ∛124 is already in simplest form.
    Between cubes
    4³ = 64 < 124 < 125 = 5³, so 4 < ∛124 < 5 and ∛124 ≈ 4.9866

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    https://calculat.io/en/number/cube-root/124Copy
    <a href="https://calculat.io/en/number/cube-root/124">Cube Root of 124 (∛124): Exact Value and Decimal</a>Copy
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    Cube Root of 124 (∛124): Exact Value and Decimal. ∛124 ≈ 4.9866. 124 has no cube factor but 1, so ∛124 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/124/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    121≈ 4.9461
    122≈ 4.9597
    123≈ 4.9732
    124≈ 4.9866
    1255
    126≈ 5.0133
    127≈ 5.0265
    Recalculate with different values ↑

    FAQ

    What is the cube root of 124?

    ∛124 ≈ 4.9866

    Can ∛124 be simplified?

    No: no prime appears three times in 124, so its only cube factor is 1 and ∛124 is already in simplest form. Since 4³ = 64 < 124 < 125 = 5³, ∛124 lies between 4 and 5: ∛124 ≈ 4.9866.

    Is ∛124 a rational number?

    No: 124 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 ∛124 is irrational; its decimal never ends and never repeats: ∛124 ≈ 4.9866.

    See Also