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    Cube Root of 128

    Cube Root Calculator
    Cube root of

    What is the cube root of 128?

    Answer

    ∛128 =
    4∛2 ≈ 5.0397

    Real cube root: the only number whose cube is 128.

    ≈ — rounded to 4 decimal places. 128 is not the cube of a rational number, so ∛128 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    128 = (2 × 2 × 2) × (2 × 2 × 2) × 2 = 2⁷
    Take out of the root
    ∛128 = ∛((2³)² × 2) = 2² × ∛2 = 4∛2
    Between cubes
    5³ = 125 < 128 < 216 = 6³, so 5 < ∛128 < 6 and ∛128 ≈ 5.0397

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    https://calculat.io/en/number/cube-root/128Copy
    <a href="https://calculat.io/en/number/cube-root/128">Cube Root of 128 (∛128): Exact Value and Decimal</a>Copy
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    Cube Root of 128 (∛128): Exact Value and Decimal. ∛128 = 4∛2 ≈ 5.0397. 128 = 4³ × 2, so 4 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/128/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1255
    126≈ 5.0133
    127≈ 5.0265
    1284∛2 ≈ 5.0397
    129≈ 5.0528
    131≈ 5.0788
    132≈ 5.0916
    Recalculate with different values ↑

    FAQ

    What is the cube root of 128?

    ∛128 = 4∛2 ≈ 5.0397

    How to simplify ∛128?

    Factor 128 into primes: 128 = 2 × 2 × 2 × 2 × 2 × 2 × 2. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛128 = ∛((2³)² × 2) = 4∛2.

    Is ∛128 a rational number?

    No: 128 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 ∛128 is irrational; its decimal never ends and never repeats: ∛128 ≈ 5.0397.

    See Also