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    Cube Root of 325

    Cube Root Calculator
    Cube root of

    What is the cube root of 325?

    Answer

    ∛325 ≈
    6.8753

    Real cube root: the only number whose cube is 325.

    ≈ — rounded to 4 decimal places. 325 is not the cube of a rational number, so ∛325 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    325 = 5 × 5 × 13 = 5² × 13
    Take out of the root
    No prime appears three times, so ∛325 is already in simplest form.
    Between cubes
    6³ = 216 < 325 < 343 = 7³, so 6 < ∛325 < 7 and ∛325 ≈ 6.8753

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    https://calculat.io/en/number/cube-root/325Copy
    <a href="https://calculat.io/en/number/cube-root/325">Cube Root of 325 (∛325): Exact Value and Decimal</a>Copy
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    Cube Root of 325 (∛325): Exact Value and Decimal. ∛325 ≈ 6.8753. 325 has no cube factor but 1, so ∛325 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/325/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    300≈ 6.6943
    323≈ 6.8612
    3243∛12 ≈ 6.8683
    325≈ 6.8753
    327≈ 6.8894
    329≈ 6.9034
    330≈ 6.9104
    Recalculate with different values ↑

    FAQ

    What is the cube root of 325?

    ∛325 ≈ 6.8753

    Can ∛325 be simplified?

    No: no prime appears three times in 325, so its only cube factor is 1 and ∛325 is already in simplest form. Since 6³ = 216 < 325 < 343 = 7³, ∛325 lies between 6 and 7: ∛325 ≈ 6.8753.

    Is ∛325 a rational number?

    No: 325 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 ∛325 is irrational; its decimal never ends and never repeats: ∛325 ≈ 6.8753.

    See Also