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    Cube Root of 137

    Cube Root Calculator
    Cube root of

    What is the cube root of 137?

    Answer

    ∛137 ≈
    5.1551

    Real cube root: the only number whose cube is 137.

    ≈ — rounded to 4 decimal places. 137 is not the cube of a rational number, so ∛137 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    137 is a prime number: no triple of equal factors.
    Between cubes
    5³ = 125 < 137 < 216 = 6³, so 5 < ∛137 < 6 and ∛137 ≈ 5.1551

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    https://calculat.io/en/number/cube-root/137Copy
    <a href="https://calculat.io/en/number/cube-root/137">Cube Root of 137 (∛137): Exact Value and Decimal</a>Copy
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    Cube Root of 137 (∛137): Exact Value and Decimal. ∛137 ≈ 5.1551. 137 has no cube factor but 1, so ∛137 is already simplest; it lies between 5 and 6.
    https://calculat.io/en/number/cube-root/137/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    132≈ 5.0916
    1353∛5 ≈ 5.1299
    1362∛17 ≈ 5.1426
    137≈ 5.1551
    142≈ 5.2171
    1442∛18 ≈ 5.2415
    147≈ 5.2776
    Recalculate with different values ↑

    FAQ

    What is the cube root of 137?

    ∛137 ≈ 5.1551

    Can ∛137 be simplified?

    No: no prime appears three times in 137, so its only cube factor is 1 and ∛137 is already in simplest form. Since 5³ = 125 < 137 < 216 = 6³, ∛137 lies between 5 and 6: ∛137 ≈ 5.1551.

    Is ∛137 a rational number?

    No: 137 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 ∛137 is irrational; its decimal never ends and never repeats: ∛137 ≈ 5.1551.

    See Also