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    Cube Root of 107

    Cube Root Calculator
    Cube root of

    What is the cube root of 107?

    Answer

    ∛107 ≈
    4.7475

    Real cube root: the only number whose cube is 107.

    ≈ — rounded to 4 decimal places. 107 is not the cube of a rational number, so ∛107 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    107 is a prime number: no triple of equal factors.
    Between cubes
    4³ = 64 < 107 < 125 = 5³, so 4 < ∛107 < 5 and ∛107 ≈ 4.7475

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    https://calculat.io/en/number/cube-root/107Copy
    <a href="https://calculat.io/en/number/cube-root/107">Cube Root of 107 (∛107): Exact Value and Decimal</a>Copy
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    Cube Root of 107 (∛107): Exact Value and Decimal. ∛107 ≈ 4.7475. 107 has no cube factor but 1, so ∛107 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/107/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    100≈ 4.6416
    102≈ 4.6723
    103≈ 4.6875
    107≈ 4.7475
    1083∛4 ≈ 4.7622
    110≈ 4.7914
    110.5924.8
    Recalculate with different values ↑

    FAQ

    What is the cube root of 107?

    ∛107 ≈ 4.7475

    Can ∛107 be simplified?

    No: no prime appears three times in 107, so its only cube factor is 1 and ∛107 is already in simplest form. Since 4³ = 64 < 107 < 125 = 5³, ∛107 lies between 4 and 5: ∛107 ≈ 4.7475.

    Is ∛107 a rational number?

    No: 107 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 ∛107 is irrational; its decimal never ends and never repeats: ∛107 ≈ 4.7475.

    See Also