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    Cube Root of 41

    Cube Root Calculator
    Cube root of

    What is the cube root of 41?

    Answer

    ∛41 ≈
    3.4482

    Real cube root: the only number whose cube is 41.

    ≈ — rounded to 4 decimal places. 41 is not the cube of a rational number, so ∛41 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    41 is a prime number: no triple of equal factors.
    Between cubes
    3³ = 27 < 41 < 64 = 4³, so 3 < ∛41 < 4 and ∛41 ≈ 3.4482

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    https://calculat.io/en/number/cube-root/41Copy
    <a href="https://calculat.io/en/number/cube-root/41">Cube Root of 41 (∛41): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 41 (∛41): Exact Value and Decimal. ∛41 ≈ 3.4482. 41 has no cube factor but 1, so ∛41 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/41/generated.jpgCopy

    FAQ

    What is the cube root of 41?

    ∛41 ≈ 3.4482

    Can ∛41 be simplified?

    No: no prime appears three times in 41, so its only cube factor is 1 and ∛41 is already in simplest form. Since 3³ = 27 < 41 < 64 = 4³, ∛41 lies between 3 and 4: ∛41 ≈ 3.4482.

    Is ∛41 a rational number?

    No: 41 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 ∛41 is irrational; its decimal never ends and never repeats: ∛41 ≈ 3.4482.