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    Cube Root of 4225

    Cube Root Calculator
    Cube root of

    What is the cube root of 4,225?

    Answer

    ∛4,225 ≈
    16.1662

    Real cube root: the only number whose cube is 4,225.

    ≈ — rounded to 4 decimal places. 4,225 is not the cube of a rational number, so ∛4,225 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    4,225 = 5 × 5 × 13 × 13 = 5² × 13²
    Take out of the root
    No prime appears three times, so ∛4,225 is already in simplest form.
    Between cubes
    16³ = 4,096 < 4,225 < 4,913 = 17³, so 16 < ∛4,225 < 17 and ∛4,225 ≈ 16.1662

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    https://calculat.io/en/number/cube-root/4225Copy
    <a href="https://calculat.io/en/number/cube-root/4225">Cube Root of 4225 (∛4225): Exact Value and Decimal</a>Copy
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    Cube Root of 4225 (∛4225): Exact Value and Decimal. ∛4,225 ≈ 16.1662. 4,225 has no cube factor but 1, so ∛4,225 is already simplest; it lies between 16 and 17.
    https://calculat.io/en/number/cube-root/4225/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    3,8886∛18 ≈ 15.7244
    4,045≈ 15.9333
    4,09616
    4,225≈ 16.1662
    4,5005∛36 ≈ 16.5096
    4,900≈ 16.985
    4,91317
    Recalculate with different values ↑

    FAQ

    What is the cube root of 4,225?

    ∛4,225 ≈ 16.1662

    Can ∛4,225 be simplified?

    No: no prime appears three times in 4,225, so its only cube factor is 1 and ∛4,225 is already in simplest form. Since 16³ = 4,096 < 4,225 < 4,913 = 17³, ∛4,225 lies between 16 and 17: ∛4,225 ≈ 16.1662.

    Is ∛4,225 a rational number?

    No: 4,225 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 ∛4,225 is irrational; its decimal never ends and never repeats: ∛4,225 ≈ 16.1662.

    See Also