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    Cube Root of 121

    Cube Root Calculator
    Cube root of

    What is the cube root of 121?

    Answer

    ∛121 ≈
    4.9461

    Real cube root: the only number whose cube is 121.

    ≈ — rounded to 4 decimal places. 121 is not the cube of a rational number, so ∛121 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    121 = 11 × 11 = 11²
    Take out of the root
    No prime appears three times, so ∛121 is already in simplest form.
    Between cubes
    4³ = 64 < 121 < 125 = 5³, so 4 < ∛121 < 5 and ∛121 ≈ 4.9461

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    https://calculat.io/en/number/cube-root/121Copy
    <a href="https://calculat.io/en/number/cube-root/121">Cube Root of 121 (∛121): Exact Value and Decimal</a>Copy
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    Cube Root of 121 (∛121): Exact Value and Decimal. ∛121 ≈ 4.9461. 121 has no cube factor but 1, so ∛121 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/121/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    117≈ 4.891
    119≈ 4.9187
    1202∛15 ≈ 4.9324
    121≈ 4.9461
    122≈ 4.9597
    123≈ 4.9732
    124≈ 4.9866
    Recalculate with different values ↑

    FAQ

    What is the cube root of 121?

    ∛121 ≈ 4.9461

    Can ∛121 be simplified?

    No: no prime appears three times in 121, so its only cube factor is 1 and ∛121 is already in simplest form. Since 4³ = 64 < 121 < 125 = 5³, ∛121 lies between 4 and 5: ∛121 ≈ 4.9461.

    Is ∛121 a rational number?

    No: 121 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 ∛121 is irrational; its decimal never ends and never repeats: ∛121 ≈ 4.9461.

    See Also