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    Cube Root of 136

    Cube Root Calculator
    Cube root of

    What is the cube root of 136?

    Answer

    ∛136 =
    2∛17 ≈ 5.1426

    Real cube root: the only number whose cube is 136.

    ≈ — rounded to 4 decimal places. 136 is not the cube of a rational number, so ∛136 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    136 = (2 × 2 × 2) × 17 = 2³ × 17
    Take out of the root
    ∛136 = ∛(2³ × 17) = 2∛17
    Between cubes
    5³ = 125 < 136 < 216 = 6³, so 5 < ∛136 < 6 and ∛136 ≈ 5.1426

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    https://calculat.io/en/number/cube-root/136Copy
    <a href="https://calculat.io/en/number/cube-root/136">Cube Root of 136 (∛136): Exact Value and Decimal</a>Copy
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    Cube Root of 136 (∛136): Exact Value and Decimal. ∛136 = 2∛17 ≈ 5.1426. 136 = 2³ × 17, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/136/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    131≈ 5.0788
    132≈ 5.0916
    1353∛5 ≈ 5.1299
    1362∛17 ≈ 5.1426
    137≈ 5.1551
    142≈ 5.2171
    1442∛18 ≈ 5.2415
    Recalculate with different values ↑

    FAQ

    What is the cube root of 136?

    ∛136 = 2∛17 ≈ 5.1426

    How to simplify ∛136?

    Factor 136 into primes: 136 = 2 × 2 × 2 × 17. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛136 = ∛(2³ × 17) = 2∛17.

    Is ∛136 a rational number?

    No: 136 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 ∛136 is irrational; its decimal never ends and never repeats: ∛136 ≈ 5.1426.

    See Also