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    Cube Root of 223

    Cube Root Calculator
    Cube root of

    What is the cube root of 223?

    Answer

    ∛223 ≈
    6.0641

    Real cube root: the only number whose cube is 223.

    ≈ — rounded to 4 decimal places. 223 is not the cube of a rational number, so ∛223 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    223 is a prime number: no triple of equal factors.
    Between cubes
    6³ = 216 < 223 < 343 = 7³, so 6 < ∛223 < 7 and ∛223 ≈ 6.0641

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    https://calculat.io/en/number/cube-root/223Copy
    <a href="https://calculat.io/en/number/cube-root/223">Cube Root of 223 (∛223): Exact Value and Decimal</a>Copy
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    Cube Root of 223 (∛223): Exact Value and Decimal. ∛223 ≈ 6.0641. 223 has no cube factor but 1, so ∛223 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/223/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    217≈ 6.0092
    220≈ 6.0368
    222≈ 6.055
    223≈ 6.0641
    225≈ 6.0822
    228≈ 6.1091
    230≈ 6.1269
    Recalculate with different values ↑

    FAQ

    What is the cube root of 223?

    ∛223 ≈ 6.0641

    Can ∛223 be simplified?

    No: no prime appears three times in 223, so its only cube factor is 1 and ∛223 is already in simplest form. Since 6³ = 216 < 223 < 343 = 7³, ∛223 lies between 6 and 7: ∛223 ≈ 6.0641.

    Is ∛223 a rational number?

    No: 223 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 ∛223 is irrational; its decimal never ends and never repeats: ∛223 ≈ 6.0641.

    See Also