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    Cube Root of 4900

    Cube Root Calculator
    Cube root of

    What is the cube root of 4,900?

    Answer

    ∛4,900 ≈
    16.985

    Real cube root: the only number whose cube is 4,900.

    ≈ — rounded to 4 decimal places. 4,900 is not the cube of a rational number, so ∛4,900 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    4,900 = 2 × 2 × 5 × 5 × 7 × 7 = 2² × 5² × 7²
    Take out of the root
    No prime appears three times, so ∛4,900 is already in simplest form.
    Between cubes
    16³ = 4,096 < 4,900 < 4,913 = 17³, so 16 < ∛4,900 < 17 and ∛4,900 ≈ 16.985

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    https://calculat.io/en/number/cube-root/4900Copy
    <a href="https://calculat.io/en/number/cube-root/4900">Cube Root of 4900 (∛4900): Exact Value and Decimal</a>Copy
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    Cube Root of 4900 (∛4900): Exact Value and Decimal. ∛4,900 ≈ 16.985. 4,900 has no cube factor but 1, so ∛4,900 is already simplest; it lies between 16 and 17.
    https://calculat.io/en/number/cube-root/4900/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    4,09616
    4,225≈ 16.1662
    4,5005∛36 ≈ 16.5096
    4,900≈ 16.985
    4,91317
    5,382≈ 17.5246
    5,48814∛2 ≈ 17.6389
    Recalculate with different values ↑

    FAQ

    What is the cube root of 4,900?

    ∛4,900 ≈ 16.985

    Can ∛4,900 be simplified?

    No: no prime appears three times in 4,900, so its only cube factor is 1 and ∛4,900 is already in simplest form. Since 16³ = 4,096 < 4,900 < 4,913 = 17³, ∛4,900 lies between 16 and 17: ∛4,900 ≈ 16.985.

    Is ∛4,900 a rational number?

    No: 4,900 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 ∛4,900 is irrational; its decimal never ends and never repeats: ∛4,900 ≈ 16.985.

    See Also