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    Cube Root of 1458

    Cube Root Calculator
    Cube root of

    What is the cube root of 1,458?

    Answer

    ∛1,458 =
    9∛2 ≈ 11.3393

    Real cube root: the only number whose cube is 1,458.

    ≈ — rounded to 4 decimal places. 1,458 is not the cube of a rational number, so ∛1,458 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    1,458 = 2 × (3 × 3 × 3) × (3 × 3 × 3) = 2 × 3⁶
    Take out of the root
    ∛1,458 = ∛((3³)² × 2) = 3² × ∛2 = 9∛2
    Between cubes
    11³ = 1,331 < 1,458 < 1,728 = 12³, so 11 < ∛1,458 < 12 and ∛1,458 ≈ 11.3393

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    https://calculat.io/en/number/cube-root/1458Copy
    <a href="https://calculat.io/en/number/cube-root/1458">Cube Root of 1458 (∛1458): Exact Value and Decimal</a>Copy
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    Cube Root of 1458 (∛1458): Exact Value and Decimal. ∛1,458 = 9∛2 ≈ 11.3393. 1,458 = 9³ × 2, so 9 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/1458/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    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
    1,5368∛3 ≈ 11.538
    Recalculate with different values ↑

    FAQ

    What is the cube root of 1,458?

    ∛1,458 = 9∛2 ≈ 11.3393

    How to simplify ∛1,458?

    Factor 1,458 into primes: 1,458 = 2 × 3 × 3 × 3 × 3 × 3 × 3. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛1,458 = ∛((3³)² × 2) = 9∛2.

    Is ∛1,458 a rational number?

    No: 1,458 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 ∛1,458 is irrational; its decimal never ends and never repeats: ∛1,458 ≈ 11.3393.

    See Also