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    Cube Root of 119

    Cube Root Calculator
    Cube root of

    What is the cube root of 119?

    Answer

    ∛119 ≈
    4.9187

    Real cube root: the only number whose cube is 119.

    ≈ — rounded to 4 decimal places. 119 is not the cube of a rational number, so ∛119 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    119 = 7 × 17
    Take out of the root
    No prime appears three times, so ∛119 is already in simplest form.
    Between cubes
    4³ = 64 < 119 < 125 = 5³, so 4 < ∛119 < 5 and ∛119 ≈ 4.9187

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    https://calculat.io/en/number/cube-root/119Copy
    <a href="https://calculat.io/en/number/cube-root/119">Cube Root of 119 (∛119): Exact Value and Decimal</a>Copy
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    Cube Root of 119 (∛119): Exact Value and Decimal. ∛119 ≈ 4.9187. 119 has no cube factor but 1, so ∛119 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/119/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    113≈ 4.8346
    115≈ 4.8629
    117≈ 4.891
    119≈ 4.9187
    1202∛15 ≈ 4.9324
    121≈ 4.9461
    122≈ 4.9597
    Recalculate with different values ↑

    FAQ

    What is the cube root of 119?

    ∛119 ≈ 4.9187

    Can ∛119 be simplified?

    No: no prime appears three times in 119, so its only cube factor is 1 and ∛119 is already in simplest form. Since 4³ = 64 < 119 < 125 = 5³, ∛119 lies between 4 and 5: ∛119 ≈ 4.9187.

    Is ∛119 a rational number?

    No: 119 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 ∛119 is irrational; its decimal never ends and never repeats: ∛119 ≈ 4.9187.

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