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    Cube Root of 113

    Cube Root Calculator
    Cube root of

    What is the cube root of 113?

    Answer

    ∛113 ≈
    4.8346

    Real cube root: the only number whose cube is 113.

    ≈ — rounded to 4 decimal places. 113 is not the cube of a rational number, so ∛113 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    113 is a prime number: no triple of equal factors.
    Between cubes
    4³ = 64 < 113 < 125 = 5³, so 4 < ∛113 < 5 and ∛113 ≈ 4.8346

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    https://calculat.io/en/number/cube-root/113Copy
    <a href="https://calculat.io/en/number/cube-root/113">Cube Root of 113 (∛113): Exact Value and Decimal</a>Copy
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    Cube Root of 113 (∛113): Exact Value and Decimal. ∛113 ≈ 4.8346. 113 has no cube factor but 1, so ∛113 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/113/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    110.5924.8
    111≈ 4.8059
    1122∛14 ≈ 4.8203
    113≈ 4.8346
    115≈ 4.8629
    117≈ 4.891
    119≈ 4.9187
    Recalculate with different values ↑

    FAQ

    What is the cube root of 113?

    ∛113 ≈ 4.8346

    Can ∛113 be simplified?

    No: no prime appears three times in 113, so its only cube factor is 1 and ∛113 is already in simplest form. Since 4³ = 64 < 113 < 125 = 5³, ∛113 lies between 4 and 5: ∛113 ≈ 4.8346.

    Is ∛113 a rational number?

    No: 113 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 ∛113 is irrational; its decimal never ends and never repeats: ∛113 ≈ 4.8346.

    See Also