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    Cube Root of 117

    Cube Root Calculator
    Cube root of

    What is the cube root of 117?

    Answer

    ∛117 ≈
    4.891

    Real cube root: the only number whose cube is 117.

    ≈ — rounded to 4 decimal places. 117 is not the cube of a rational number, so ∛117 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    117 = 3 × 3 × 13 = 3² × 13
    Take out of the root
    No prime appears three times, so ∛117 is already in simplest form.
    Between cubes
    4³ = 64 < 117 < 125 = 5³, so 4 < ∛117 < 5 and ∛117 ≈ 4.891

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    https://calculat.io/en/number/cube-root/117Copy
    <a href="https://calculat.io/en/number/cube-root/117">Cube Root of 117 (∛117): Exact Value and Decimal</a>Copy
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    Cube Root of 117 (∛117): Exact Value and Decimal. ∛117 ≈ 4.891. 117 has no cube factor but 1, so ∛117 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/117/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1122∛14 ≈ 4.8203
    113≈ 4.8346
    115≈ 4.8629
    117≈ 4.891
    119≈ 4.9187
    1202∛15 ≈ 4.9324
    121≈ 4.9461
    Recalculate with different values ↑

    FAQ

    What is the cube root of 117?

    ∛117 ≈ 4.891

    Can ∛117 be simplified?

    No: no prime appears three times in 117, so its only cube factor is 1 and ∛117 is already in simplest form. Since 4³ = 64 < 117 < 125 = 5³, ∛117 lies between 4 and 5: ∛117 ≈ 4.891.

    Is ∛117 a rational number?

    No: 117 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 ∛117 is irrational; its decimal never ends and never repeats: ∛117 ≈ 4.891.

    See Also