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    Cube Root of 276

    Cube Root Calculator
    Cube root of

    What is the cube root of 276?

    Answer

    ∛276 ≈
    6.5108

    Real cube root: the only number whose cube is 276.

    ≈ — rounded to 4 decimal places. 276 is not the cube of a rational number, so ∛276 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    276 = 2 × 2 × 3 × 23 = 2² × 3 × 23
    Take out of the root
    No prime appears three times, so ∛276 is already in simplest form.
    Between cubes
    6³ = 216 < 276 < 343 = 7³, so 6 < ∛276 < 7 and ∛276 ≈ 6.5108

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    https://calculat.io/en/number/cube-root/276Copy
    <a href="https://calculat.io/en/number/cube-root/276">Cube Root of 276 (∛276): Exact Value and Decimal</a>Copy
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    Cube Root of 276 (∛276): Exact Value and Decimal. ∛276 ≈ 6.5108. 276 has no cube factor but 1, so ∛276 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/276/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    2564∛4 ≈ 6.3496
    257≈ 6.3579
    258≈ 6.3661
    276≈ 6.5108
    279≈ 6.5343
    2802∛35 ≈ 6.5421
    285≈ 6.5808
    Recalculate with different values ↑

    FAQ

    What is the cube root of 276?

    ∛276 ≈ 6.5108

    Can ∛276 be simplified?

    No: no prime appears three times in 276, so its only cube factor is 1 and ∛276 is already in simplest form. Since 6³ = 216 < 276 < 343 = 7³, ∛276 lies between 6 and 7: ∛276 ≈ 6.5108.

    Is ∛276 a rational number?

    No: 276 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 ∛276 is irrational; its decimal never ends and never repeats: ∛276 ≈ 6.5108.

    See Also