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    Cube Root of 127

    Cube Root Calculator
    Cube root of

    What is the cube root of 127?

    Answer

    ∛127 ≈
    5.0265

    Real cube root: the only number whose cube is 127.

    ≈ — rounded to 4 decimal places. 127 is not the cube of a rational number, so ∛127 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    127 is a prime number: no triple of equal factors.
    Between cubes
    5³ = 125 < 127 < 216 = 6³, so 5 < ∛127 < 6 and ∛127 ≈ 5.0265

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    https://calculat.io/en/number/cube-root/127Copy
    <a href="https://calculat.io/en/number/cube-root/127">Cube Root of 127 (∛127): Exact Value and Decimal</a>Copy
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    Cube Root of 127 (∛127): Exact Value and Decimal. ∛127 ≈ 5.0265. 127 has no cube factor but 1, so ∛127 is already simplest; it lies between 5 and 6.
    https://calculat.io/en/number/cube-root/127/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    124≈ 4.9866
    1255
    126≈ 5.0133
    127≈ 5.0265
    1284∛2 ≈ 5.0397
    129≈ 5.0528
    131≈ 5.0788
    Recalculate with different values ↑

    FAQ

    What is the cube root of 127?

    ∛127 ≈ 5.0265

    Can ∛127 be simplified?

    No: no prime appears three times in 127, so its only cube factor is 1 and ∛127 is already in simplest form. Since 5³ = 125 < 127 < 216 = 6³, ∛127 lies between 5 and 6: ∛127 ≈ 5.0265.

    Is ∛127 a rational number?

    No: 127 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 ∛127 is irrational; its decimal never ends and never repeats: ∛127 ≈ 5.0265.

    See Also