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    Cube Root of 425

    Cube Root Calculator
    Cube root of

    What is the cube root of 425?

    Answer

    ∛425 ≈
    7.5185

    Real cube root: the only number whose cube is 425.

    ≈ — rounded to 4 decimal places. 425 is not the cube of a rational number, so ∛425 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    425 = 5 × 5 × 17 = 5² × 17
    Take out of the root
    No prime appears three times, so ∛425 is already in simplest form.
    Between cubes
    7³ = 343 < 425 < 512 = 8³, so 7 < ∛425 < 8 and ∛425 ≈ 7.5185

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    https://calculat.io/en/number/cube-root/425Copy
    <a href="https://calculat.io/en/number/cube-root/425">Cube Root of 425 (∛425): Exact Value and Decimal</a>Copy
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    Cube Root of 425 (∛425): Exact Value and Decimal. ∛425 ≈ 7.5185. 425 has no cube factor but 1, so ∛425 is already simplest; it lies between 7 and 8.
    https://calculat.io/en/number/cube-root/425/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    3362∛42 ≈ 6.9521
    3437
    3755∛3 ≈ 7.2112
    425≈ 7.5185
    4326∛2 ≈ 7.5595
    445≈ 7.6346
    4484∛7 ≈ 7.6517
    Recalculate with different values ↑

    FAQ

    What is the cube root of 425?

    ∛425 ≈ 7.5185

    Can ∛425 be simplified?

    No: no prime appears three times in 425, so its only cube factor is 1 and ∛425 is already in simplest form. Since 7³ = 343 < 425 < 512 = 8³, ∛425 lies between 7 and 8: ∛425 ≈ 7.5185.

    Is ∛425 a rational number?

    No: 425 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 ∛425 is irrational; its decimal never ends and never repeats: ∛425 ≈ 7.5185.

    See Also