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    Cube Root of 89

    Cube Root Calculator
    Cube root of

    What is the cube root of 89?

    Answer

    ∛89 ≈
    4.4647

    Real cube root: the only number whose cube is 89.

    ≈ — rounded to 4 decimal places. 89 is not the cube of a rational number, so ∛89 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    89 is a prime number: no triple of equal factors.
    Between cubes
    4³ = 64 < 89 < 125 = 5³, so 4 < ∛89 < 5 and ∛89 ≈ 4.4647

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    https://calculat.io/en/number/cube-root/89Copy
    <a href="https://calculat.io/en/number/cube-root/89">Cube Root of 89 (∛89): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 89 (∛89): Exact Value and Decimal. ∛89 ≈ 4.4647. 89 has no cube factor but 1, so ∛89 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/89/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    86≈ 4.414
    87≈ 4.431
    882∛11 ≈ 4.448
    89≈ 4.4647
    90≈ 4.4814
    91≈ 4.4979
    91.1254.5
    Recalculate with different values ↑

    FAQ

    What is the cube root of 89?

    ∛89 ≈ 4.4647

    Can ∛89 be simplified?

    No: no prime appears three times in 89, so its only cube factor is 1 and ∛89 is already in simplest form. Since 4³ = 64 < 89 < 125 = 5³, ∛89 lies between 4 and 5: ∛89 ≈ 4.4647.

    Is ∛89 a rational number?

    No: 89 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 ∛89 is irrational; its decimal never ends and never repeats: ∛89 ≈ 4.4647.

    See Also