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    Cube Root of 112

    Cube Root Calculator
    Cube root of

    What is the cube root of 112?

    Answer

    ∛112 =
    2∛14 ≈ 4.8203

    Real cube root: the only number whose cube is 112.

    ≈ — rounded to 4 decimal places. 112 is not the cube of a rational number, so ∛112 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    112 = (2 × 2 × 2) × 2 × 7 = 2⁴ × 7
    Take out of the root
    ∛112 = ∛(2³ × 14) = 2∛14
    Between cubes
    4³ = 64 < 112 < 125 = 5³, so 4 < ∛112 < 5 and ∛112 ≈ 4.8203

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    https://calculat.io/en/number/cube-root/112Copy
    <a href="https://calculat.io/en/number/cube-root/112">Cube Root of 112 (∛112): Exact Value and Decimal</a>Copy
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    Cube Root of 112 (∛112): Exact Value and Decimal. ∛112 = 2∛14 ≈ 4.8203. 112 = 2³ × 14, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/112/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    110≈ 4.7914
    110.5924.8
    111≈ 4.8059
    1122∛14 ≈ 4.8203
    113≈ 4.8346
    115≈ 4.8629
    117≈ 4.891
    Recalculate with different values ↑

    FAQ

    What is the cube root of 112?

    ∛112 = 2∛14 ≈ 4.8203

    How to simplify ∛112?

    Factor 112 into primes: 112 = 2 × 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: ∛112 = ∛(2³ × 14) = 2∛14.

    Is ∛112 a rational number?

    No: 112 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 ∛112 is irrational; its decimal never ends and never repeats: ∛112 ≈ 4.8203.

    See Also