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    Cube Root of 196

    Cube Root Calculator
    Cube root of

    What is the cube root of 196?

    Answer

    ∛196 ≈
    5.8088

    Real cube root: the only number whose cube is 196.

    ≈ — rounded to 4 decimal places. 196 is not the cube of a rational number, so ∛196 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    196 = 2 × 2 × 7 × 7 = 2² × 7²
    Take out of the root
    No prime appears three times, so ∛196 is already in simplest form.
    Between cubes
    5³ = 125 < 196 < 216 = 6³, so 5 < ∛196 < 6 and ∛196 ≈ 5.8088

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    https://calculat.io/en/number/cube-root/196Copy
    <a href="https://calculat.io/en/number/cube-root/196">Cube Root of 196 (∛196): Exact Value and Decimal</a>Copy
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    Cube Root of 196 (∛196): Exact Value and Decimal. ∛196 ≈ 5.8088. 196 has no cube factor but 1, so ∛196 is already simplest; it lies between 5 and 6.
    https://calculat.io/en/number/cube-root/196/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    187≈ 5.7185
    1893∛7 ≈ 5.7388
    1924∛3 ≈ 5.769
    196≈ 5.8088
    197≈ 5.8186
    2002∛25 ≈ 5.848
    201≈ 5.8578
    Recalculate with different values ↑

    FAQ

    What is the cube root of 196?

    ∛196 ≈ 5.8088

    Can ∛196 be simplified?

    No: no prime appears three times in 196, so its only cube factor is 1 and ∛196 is already in simplest form. Since 5³ = 125 < 196 < 216 = 6³, ∛196 lies between 5 and 6: ∛196 ≈ 5.8088.

    Is ∛196 a rational number?

    No: 196 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 ∛196 is irrational; its decimal never ends and never repeats: ∛196 ≈ 5.8088.

    See Also