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    Cube Root of 126

    Cube Root Calculator
    Cube root of

    What is the cube root of 126?

    Answer

    ∛126 ≈
    5.0133

    Real cube root: the only number whose cube is 126.

    ≈ — rounded to 4 decimal places. 126 is not the cube of a rational number, so ∛126 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    126 = 2 × 3 × 3 × 7 = 2 × 3² × 7
    Take out of the root
    No prime appears three times, so ∛126 is already in simplest form.
    Between cubes
    5³ = 125 < 126 < 216 = 6³, so 5 < ∛126 < 6 and ∛126 ≈ 5.0133

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    https://calculat.io/en/number/cube-root/126Copy
    <a href="https://calculat.io/en/number/cube-root/126">Cube Root of 126 (∛126): Exact Value and Decimal</a>Copy
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    Cube Root of 126 (∛126): Exact Value and Decimal. ∛126 ≈ 5.0133. 126 has no cube factor but 1, so ∛126 is already simplest; it lies between 5 and 6.
    https://calculat.io/en/number/cube-root/126/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    123≈ 4.9732
    124≈ 4.9866
    1255
    126≈ 5.0133
    127≈ 5.0265
    1284∛2 ≈ 5.0397
    129≈ 5.0528
    Recalculate with different values ↑

    FAQ

    What is the cube root of 126?

    ∛126 ≈ 5.0133

    Can ∛126 be simplified?

    No: no prime appears three times in 126, so its only cube factor is 1 and ∛126 is already in simplest form. Since 5³ = 125 < 126 < 216 = 6³, ∛126 lies between 5 and 6: ∛126 ≈ 5.0133.

    Is ∛126 a rational number?

    No: 126 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 ∛126 is irrational; its decimal never ends and never repeats: ∛126 ≈ 5.0133.

    See Also