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    Cube Root of 1725

    Cube Root Calculator
    Cube root of

    What is the cube root of 1,725?

    Answer

    ∛1,725 ≈
    11.9931

    Real cube root: the only number whose cube is 1,725.

    ≈ — rounded to 4 decimal places. 1,725 is not the cube of a rational number, so ∛1,725 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    1,725 = 3 × 5 × 5 × 23 = 3 × 5² × 23
    Take out of the root
    No prime appears three times, so ∛1,725 is already in simplest form.
    Between cubes
    11³ = 1,331 < 1,725 < 1,728 = 12³, so 11 < ∛1,725 < 12 and ∛1,725 ≈ 11.9931

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    https://calculat.io/en/number/cube-root/1725Copy
    <a href="https://calculat.io/en/number/cube-root/1725">Cube Root of 1725 (∛1725): Exact Value and Decimal</a>Copy
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    Cube Root of 1725 (∛1725): Exact Value and Decimal. ∛1,725 ≈ 11.9931. 1,725 has no cube factor but 1, so ∛1,725 is already simplest; it lies between 11 and 12.
    https://calculat.io/en/number/cube-root/1725/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1,700≈ 11.9348
    1,7013∛63 ≈ 11.9372
    1,7157∛5 ≈ 11.9698
    1,725≈ 11.9931
    1,726≈ 11.9954
    1,72812
    1,729≈ 12.0023
    Recalculate with different values ↑

    FAQ

    What is the cube root of 1,725?

    ∛1,725 ≈ 11.9931

    Can ∛1,725 be simplified?

    No: no prime appears three times in 1,725, so its only cube factor is 1 and ∛1,725 is already in simplest form. Since 11³ = 1,331 < 1,725 < 1,728 = 12³, ∛1,725 lies between 11 and 12: ∛1,725 ≈ 11.9931.

    Is ∛1,725 a rational number?

    No: 1,725 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 ∛1,725 is irrational; its decimal never ends and never repeats: ∛1,725 ≈ 11.9931.

    See Also