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    Cube Root of 1372

    Cube Root Calculator
    Cube root of

    What is the cube root of 1,372?

    Answer

    ∛1,372 =
    7∛4 ≈ 11.1118

    Real cube root: the only number whose cube is 1,372.

    ≈ — rounded to 4 decimal places. 1,372 is not the cube of a rational number, so ∛1,372 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    1,372 = 2 × 2 × (7 × 7 × 7) = 2² × 7³
    Take out of the root
    ∛1,372 = ∛(7³ × 4) = 7∛4
    Between cubes
    11³ = 1,331 < 1,372 < 1,728 = 12³, so 11 < ∛1,372 < 12 and ∛1,372 ≈ 11.1118

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    https://calculat.io/en/number/cube-root/1372Copy
    <a href="https://calculat.io/en/number/cube-root/1372">Cube Root of 1372 (∛1372): Exact Value and Decimal</a>Copy
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    Cube Root of 1372 (∛1372): Exact Value and Decimal. ∛1,372 = 7∛4 ≈ 11.1118. 1,372 = 7³ × 4, so 7 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/1372/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1,33111
    1,332≈ 11.0028
    1,369≈ 11.1037
    1,3727∛4 ≈ 11.1118
    1,4589∛2 ≈ 11.3393
    1,4882∛186 ≈ 11.4165
    1,521≈ 11.5003
    Recalculate with different values ↑

    FAQ

    What is the cube root of 1,372?

    ∛1,372 = 7∛4 ≈ 11.1118

    How to simplify ∛1,372?

    Factor 1,372 into primes: 1,372 = 2 × 2 × 7 × 7 × 7. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛1,372 = ∛(7³ × 4) = 7∛4.

    Is ∛1,372 a rational number?

    No: 1,372 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 ∛1,372 is irrational; its decimal never ends and never repeats: ∛1,372 ≈ 11.1118.

    See Also