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    Cube Root of 225

    Cube Root Calculator
    Cube root of

    What is the cube root of 225?

    Answer

    ∛225 ≈
    6.0822

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

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

    Prime factors
    225 = 3 × 3 × 5 × 5 = 3² × 5²
    Take out of the root
    No prime appears three times, so ∛225 is already in simplest form.
    Between cubes
    6³ = 216 < 225 < 343 = 7³, so 6 < ∛225 < 7 and ∛225 ≈ 6.0822

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    https://calculat.io/en/number/cube-root/225Copy
    <a href="https://calculat.io/en/number/cube-root/225">Cube Root of 225 (∛225): Exact Value and Decimal</a>Copy
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    Cube Root of 225 (∛225): Exact Value and Decimal. ∛225 ≈ 6.0822. 225 has no cube factor but 1, so ∛225 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/225/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    220≈ 6.0368
    222≈ 6.055
    223≈ 6.0641
    225≈ 6.0822
    228≈ 6.1091
    230≈ 6.1269
    231≈ 6.1358
    Recalculate with different values ↑

    FAQ

    What is the cube root of 225?

    ∛225 ≈ 6.0822

    Can ∛225 be simplified?

    No: no prime appears three times in 225, so its only cube factor is 1 and ∛225 is already in simplest form. Since 6³ = 216 < 225 < 343 = 7³, ∛225 lies between 6 and 7: ∛225 ≈ 6.0822.

    Is ∛225 a rational number?

    No: 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 ∛225 is irrational; its decimal never ends and never repeats: ∛225 ≈ 6.0822.

    See Also