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    Cube Root of 103

    Cube Root Calculator
    Cube root of

    What is the cube root of 103?

    Answer

    ∛103 ≈
    4.6875

    Real cube root: the only number whose cube is 103.

    ≈ — rounded to 4 decimal places. 103 is not the cube of a rational number, so ∛103 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    103 is a prime number: no triple of equal factors.
    Between cubes
    4³ = 64 < 103 < 125 = 5³, so 4 < ∛103 < 5 and ∛103 ≈ 4.6875

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    https://calculat.io/en/number/cube-root/103Copy
    <a href="https://calculat.io/en/number/cube-root/103">Cube Root of 103 (∛103): Exact Value and Decimal</a>Copy
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    Cube Root of 103 (∛103): Exact Value and Decimal. ∛103 ≈ 4.6875. 103 has no cube factor but 1, so ∛103 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/103/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    99≈ 4.6261
    100≈ 4.6416
    102≈ 4.6723
    103≈ 4.6875
    107≈ 4.7475
    1083∛4 ≈ 4.7622
    110≈ 4.7914
    Recalculate with different values ↑

    FAQ

    What is the cube root of 103?

    ∛103 ≈ 4.6875

    Can ∛103 be simplified?

    No: no prime appears three times in 103, so its only cube factor is 1 and ∛103 is already in simplest form. Since 4³ = 64 < 103 < 125 = 5³, ∛103 lies between 4 and 5: ∛103 ≈ 4.6875.

    Is ∛103 a rational number?

    No: 103 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 ∛103 is irrational; its decimal never ends and never repeats: ∛103 ≈ 4.6875.

    See Also