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    Cube Root of 228

    Cube Root Calculator
    Cube root of

    What is the cube root of 228?

    Answer

    ∛228 ≈
    6.1091

    Real cube root: the only number whose cube is 228.

    ≈ — rounded to 4 decimal places. 228 is not the cube of a rational number, so ∛228 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    228 = 2 × 2 × 3 × 19 = 2² × 3 × 19
    Take out of the root
    No prime appears three times, so ∛228 is already in simplest form.
    Between cubes
    6³ = 216 < 228 < 343 = 7³, so 6 < ∛228 < 7 and ∛228 ≈ 6.1091

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    https://calculat.io/en/number/cube-root/228Copy
    <a href="https://calculat.io/en/number/cube-root/228">Cube Root of 228 (∛228): Exact Value and Decimal</a>Copy
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    Cube Root of 228 (∛228): Exact Value and Decimal. ∛228 ≈ 6.1091. 228 has no cube factor but 1, so ∛228 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/228/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    222≈ 6.055
    223≈ 6.0641
    225≈ 6.0822
    228≈ 6.1091
    230≈ 6.1269
    231≈ 6.1358
    233≈ 6.1534
    Recalculate with different values ↑

    FAQ

    What is the cube root of 228?

    ∛228 ≈ 6.1091

    Can ∛228 be simplified?

    No: no prime appears three times in 228, so its only cube factor is 1 and ∛228 is already in simplest form. Since 6³ = 216 < 228 < 343 = 7³, ∛228 lies between 6 and 7: ∛228 ≈ 6.1091.

    Is ∛228 a rational number?

    No: 228 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 ∛228 is irrational; its decimal never ends and never repeats: ∛228 ≈ 6.1091.

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