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    Cube Root of 123

    Cube Root Calculator
    Cube root of

    What is the cube root of 123?

    Answer

    ∛123 ≈
    4.9732

    Real cube root: the only number whose cube is 123.

    ≈ — rounded to 4 decimal places. 123 is not the cube of a rational number, so ∛123 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    123 = 3 × 41
    Take out of the root
    No prime appears three times, so ∛123 is already in simplest form.
    Between cubes
    4³ = 64 < 123 < 125 = 5³, so 4 < ∛123 < 5 and ∛123 ≈ 4.9732

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    https://calculat.io/en/number/cube-root/123Copy
    <a href="https://calculat.io/en/number/cube-root/123">Cube Root of 123 (∛123): Exact Value and Decimal</a>Copy
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    Cube Root of 123 (∛123): Exact Value and Decimal. ∛123 ≈ 4.9732. 123 has no cube factor but 1, so ∛123 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/123/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1202∛15 ≈ 4.9324
    121≈ 4.9461
    122≈ 4.9597
    123≈ 4.9732
    124≈ 4.9866
    1255
    126≈ 5.0133
    Recalculate with different values ↑

    FAQ

    What is the cube root of 123?

    ∛123 ≈ 4.9732

    Can ∛123 be simplified?

    No: no prime appears three times in 123, so its only cube factor is 1 and ∛123 is already in simplest form. Since 4³ = 64 < 123 < 125 = 5³, ∛123 lies between 4 and 5: ∛123 ≈ 4.9732.

    Is ∛123 a rational number?

    No: 123 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 ∛123 is irrational; its decimal never ends and never repeats: ∛123 ≈ 4.9732.

    See Also