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    Cube Root of 56

    Cube Root Calculator
    Cube root of

    What is the cube root of 56?

    Answer

    ∛56 =
    2∛7 ≈ 3.8259

    Real cube root: the only number whose cube is 56.

    ≈ — rounded to 4 decimal places. 56 is not the cube of a rational number, so ∛56 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    56 = (2 × 2 × 2) × 7 = 2³ × 7
    Take out of the root
    ∛56 = ∛(2³ × 7) = 2∛7
    Between cubes
    3³ = 27 < 56 < 64 = 4³, so 3 < ∛56 < 4 and ∛56 ≈ 3.8259

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    https://calculat.io/en/number/cube-root/56Copy
    <a href="https://calculat.io/en/number/cube-root/56">Cube Root of 56 (∛56): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 56 (∛56): Exact Value and Decimal. ∛56 = 2∛7 ≈ 3.8259. 56 = 2³ × 7, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/56/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    53≈ 3.7563
    543∛2 ≈ 3.7798
    55≈ 3.803
    562∛7 ≈ 3.8259
    57≈ 3.8485
    58≈ 3.8709
    59≈ 3.893
    Recalculate with different values ↑

    FAQ

    What is the cube root of 56?

    ∛56 = 2∛7 ≈ 3.8259

    How to simplify ∛56?

    Factor 56 into primes: 56 = 2 × 2 × 2 × 7. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛56 = ∛(2³ × 7) = 2∛7.

    Is ∛56 a rational number?

    No: 56 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 ∛56 is irrational; its decimal never ends and never repeats: ∛56 ≈ 3.8259.

    See Also