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    Cube Root of 61

    Cube Root Calculator
    Cube root of

    What is the cube root of 61?

    Answer

    ∛61 ≈
    3.9365

    Real cube root: the only number whose cube is 61.

    ≈ — rounded to 4 decimal places. 61 is not the cube of a rational number, so ∛61 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    61 is a prime number: no triple of equal factors.
    Between cubes
    3³ = 27 < 61 < 64 = 4³, so 3 < ∛61 < 4 and ∛61 ≈ 3.9365

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    https://calculat.io/en/number/cube-root/61Copy
    <a href="https://calculat.io/en/number/cube-root/61">Cube Root of 61 (∛61): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 61 (∛61): Exact Value and Decimal. ∛61 ≈ 3.9365. 61 has no cube factor but 1, so ∛61 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/61/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    58≈ 3.8709
    59≈ 3.893
    60≈ 3.9149
    61≈ 3.9365
    62≈ 3.9579
    63≈ 3.9791
    644
    Recalculate with different values ↑

    FAQ

    What is the cube root of 61?

    ∛61 ≈ 3.9365

    Can ∛61 be simplified?

    No: no prime appears three times in 61, so its only cube factor is 1 and ∛61 is already in simplest form. Since 3³ = 27 < 61 < 64 = 4³, ∛61 lies between 3 and 4: ∛61 ≈ 3.9365.

    Is ∛61 a rational number?

    No: 61 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 ∛61 is irrational; its decimal never ends and never repeats: ∛61 ≈ 3.9365.

    See Also