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    Cube Root of 197

    Cube Root Calculator
    Cube root of

    What is the cube root of 197?

    Answer

    ∛197 ≈
    5.8186

    Real cube root: the only number whose cube is 197.

    ≈ — rounded to 4 decimal places. 197 is not the cube of a rational number, so ∛197 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    197 is a prime number: no triple of equal factors.
    Between cubes
    5³ = 125 < 197 < 216 = 6³, so 5 < ∛197 < 6 and ∛197 ≈ 5.8186

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    https://calculat.io/en/number/cube-root/197Copy
    <a href="https://calculat.io/en/number/cube-root/197">Cube Root of 197 (∛197): Exact Value and Decimal</a>Copy
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    Cube Root of 197 (∛197): Exact Value and Decimal. ∛197 ≈ 5.8186. 197 has no cube factor but 1, so ∛197 is already simplest; it lies between 5 and 6.
    https://calculat.io/en/number/cube-root/197/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1893∛7 ≈ 5.7388
    1924∛3 ≈ 5.769
    196≈ 5.8088
    197≈ 5.8186
    2002∛25 ≈ 5.848
    201≈ 5.8578
    207≈ 5.9155
    Recalculate with different values ↑

    FAQ

    What is the cube root of 197?

    ∛197 ≈ 5.8186

    Can ∛197 be simplified?

    No: no prime appears three times in 197, so its only cube factor is 1 and ∛197 is already in simplest form. Since 5³ = 125 < 197 < 216 = 6³, ∛197 lies between 5 and 6: ∛197 ≈ 5.8186.

    Is ∛197 a rational number?

    No: 197 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 ∛197 is irrational; its decimal never ends and never repeats: ∛197 ≈ 5.8186.

    See Also