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    Cube Root of 296

    Cube Root Calculator
    Cube root of

    What is the cube root of 296?

    Answer

    ∛296 =
    2∛37 ≈ 6.6644

    Real cube root: the only number whose cube is 296.

    ≈ — rounded to 4 decimal places. 296 is not the cube of a rational number, so ∛296 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    296 = (2 × 2 × 2) × 37 = 2³ × 37
    Take out of the root
    ∛296 = ∛(2³ × 37) = 2∛37
    Between cubes
    6³ = 216 < 296 < 343 = 7³, so 6 < ∛296 < 7 and ∛296 ≈ 6.6644

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    https://calculat.io/en/number/cube-root/296Copy
    <a href="https://calculat.io/en/number/cube-root/296">Cube Root of 296 (∛296): Exact Value and Decimal</a>Copy
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    Cube Root of 296 (∛296): Exact Value and Decimal. ∛296 = 2∛37 ≈ 6.6644. 296 = 2³ × 37, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/296/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    289≈ 6.6115
    290≈ 6.6191
    292≈ 6.6343
    2962∛37 ≈ 6.6644
    2973∛11 ≈ 6.6719
    300≈ 6.6943
    323≈ 6.8612
    Recalculate with different values ↑

    FAQ

    What is the cube root of 296?

    ∛296 = 2∛37 ≈ 6.6644

    How to simplify ∛296?

    Factor 296 into primes: 296 = 2 × 2 × 2 × 37. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛296 = ∛(2³ × 37) = 2∛37.

    Is ∛296 a rational number?

    No: 296 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 ∛296 is irrational; its decimal never ends and never repeats: ∛296 ≈ 6.6644.

    See Also