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    Cube Root of 297

    Cube Root Calculator
    Cube root of

    What is the cube root of 297?

    Answer

    ∛297 =
    3∛11 ≈ 6.6719

    Real cube root: the only number whose cube is 297.

    ≈ — rounded to 4 decimal places. 297 is not the cube of a rational number, so ∛297 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    297 = (3 × 3 × 3) × 11 = 3³ × 11
    Take out of the root
    ∛297 = ∛(3³ × 11) = 3∛11
    Between cubes
    6³ = 216 < 297 < 343 = 7³, so 6 < ∛297 < 7 and ∛297 ≈ 6.6719

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    https://calculat.io/en/number/cube-root/297Copy
    <a href="https://calculat.io/en/number/cube-root/297">Cube Root of 297 (∛297): Exact Value and Decimal</a>Copy
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    Cube Root of 297 (∛297): Exact Value and Decimal. ∛297 = 3∛11 ≈ 6.6719. 297 = 3³ × 11, so 3 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/297/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    290≈ 6.6191
    292≈ 6.6343
    2962∛37 ≈ 6.6644
    2973∛11 ≈ 6.6719
    300≈ 6.6943
    323≈ 6.8612
    3243∛12 ≈ 6.8683
    Recalculate with different values ↑

    FAQ

    What is the cube root of 297?

    ∛297 = 3∛11 ≈ 6.6719

    How to simplify ∛297?

    Factor 297 into primes: 297 = 3 × 3 × 3 × 11. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛297 = ∛(3³ × 11) = 3∛11.

    Is ∛297 a rational number?

    No: 297 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 ∛297 is irrational; its decimal never ends and never repeats: ∛297 ≈ 6.6719.

    See Also