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    Cube Root of 1225

    Cube Root Calculator
    Cube root of

    What is the cube root of 1,225?

    Answer

    ∛1,225 ≈
    10.6999

    Real cube root: the only number whose cube is 1,225.

    ≈ — rounded to 4 decimal places. 1,225 is not the cube of a rational number, so ∛1,225 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    1,225 = 5 × 5 × 7 × 7 = 5² × 7²
    Take out of the root
    No prime appears three times, so ∛1,225 is already in simplest form.
    Between cubes
    10³ = 1,000 < 1,225 < 1,331 = 11³, so 10 < ∛1,225 < 11 and ∛1,225 ≈ 10.6999

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    https://calculat.io/en/number/cube-root/1225Copy
    <a href="https://calculat.io/en/number/cube-root/1225">Cube Root of 1225 (∛1225): Exact Value and Decimal</a>Copy
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    Cube Root of 1225 (∛1225): Exact Value and Decimal. ∛1,225 ≈ 10.6999. 1,225 has no cube factor but 1, so ∛1,225 is already simplest; it lies between 10 and 11.
    https://calculat.io/en/number/cube-root/1225/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1,1255∛9 ≈ 10.4004
    1,2002∛150 ≈ 10.6266
    1,210≈ 10.656
    1,225≈ 10.6999
    1,2804∛20 ≈ 10.8577
    1,2966∛6 ≈ 10.9027
    1,3233∛49 ≈ 10.9779
    Recalculate with different values ↑

    FAQ

    What is the cube root of 1,225?

    ∛1,225 ≈ 10.6999

    Can ∛1,225 be simplified?

    No: no prime appears three times in 1,225, so its only cube factor is 1 and ∛1,225 is already in simplest form. Since 10³ = 1,000 < 1,225 < 1,331 = 11³, ∛1,225 lies between 10 and 11: ∛1,225 ≈ 10.6999.

    Is ∛1,225 a rational number?

    No: 1,225 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 ∛1,225 is irrational; its decimal never ends and never repeats: ∛1,225 ≈ 10.6999.

    See Also