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    Cube Root of 97

    Cube Root Calculator
    Cube root of

    What is the cube root of 97?

    Answer

    ∛97 ≈
    4.5947

    Real cube root: the only number whose cube is 97.

    ≈ — rounded to 4 decimal places. 97 is not the cube of a rational number, so ∛97 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    97 is a prime number: no triple of equal factors.
    Between cubes
    4³ = 64 < 97 < 125 = 5³, so 4 < ∛97 < 5 and ∛97 ≈ 4.5947

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    https://calculat.io/en/number/cube-root/97Copy
    <a href="https://calculat.io/en/number/cube-root/97">Cube Root of 97 (∛97): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 97 (∛97): Exact Value and Decimal. ∛97 ≈ 4.5947. 97 has no cube factor but 1, so ∛97 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/97/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    94≈ 4.5468
    95≈ 4.5629
    962∛12 ≈ 4.5789
    97≈ 4.5947
    98≈ 4.6104
    99≈ 4.6261
    100≈ 4.6416
    Recalculate with different values ↑

    FAQ

    What is the cube root of 97?

    ∛97 ≈ 4.5947

    Can ∛97 be simplified?

    No: no prime appears three times in 97, so its only cube factor is 1 and ∛97 is already in simplest form. Since 4³ = 64 < 97 < 125 = 5³, ∛97 lies between 4 and 5: ∛97 ≈ 4.5947.

    Is ∛97 a rational number?

    No: 97 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 ∛97 is irrational; its decimal never ends and never repeats: ∛97 ≈ 4.5947.

    See Also