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    Cube Root of 157

    Cube Root Calculator
    Cube root of

    What is the cube root of 157?

    Answer

    ∛157 ≈
    5.3947

    Real cube root: the only number whose cube is 157.

    ≈ — rounded to 4 decimal places. 157 is not the cube of a rational number, so ∛157 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    157 is a prime number: no triple of equal factors.
    Between cubes
    5³ = 125 < 157 < 216 = 6³, so 5 < ∛157 < 6 and ∛157 ≈ 5.3947

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    https://calculat.io/en/number/cube-root/157Copy
    <a href="https://calculat.io/en/number/cube-root/157">Cube Root of 157 (∛157): Exact Value and Decimal</a>Copy
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    Cube Root of 157 (∛157): Exact Value and Decimal. ∛157 ≈ 5.3947. 157 has no cube factor but 1, so ∛157 is already simplest; it lies between 5 and 6.
    https://calculat.io/en/number/cube-root/157/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    149≈ 5.3015
    150≈ 5.3133
    1522∛19 ≈ 5.3368
    157≈ 5.3947
    158≈ 5.4061
    1623∛6 ≈ 5.4514
    167≈ 5.5069
    Recalculate with different values ↑

    FAQ

    What is the cube root of 157?

    ∛157 ≈ 5.3947

    Can ∛157 be simplified?

    No: no prime appears three times in 157, so its only cube factor is 1 and ∛157 is already in simplest form. Since 5³ = 125 < 157 < 216 = 6³, ∛157 lies between 5 and 6: ∛157 ≈ 5.3947.

    Is ∛157 a rational number?

    No: 157 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 ∛157 is irrational; its decimal never ends and never repeats: ∛157 ≈ 5.3947.

    See Also