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    Cube Root of 1296

    Cube Root Calculator
    Cube root of

    What is the cube root of 1,296?

    Answer

    ∛1,296 =
    6∛6 ≈ 10.9027

    Real cube root: the only number whose cube is 1,296.

    ≈ — rounded to 4 decimal places. 1,296 is not the cube of a rational number, so ∛1,296 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    1,296 = (2 × 2 × 2) × 2 × (3 × 3 × 3) × 3 = 2⁴ × 3⁴
    Take out of the root
    ∛1,296 = ∛(2³ × 3³ × 6) = 2 × 3 × ∛6 = 6∛6
    Between cubes
    10³ = 1,000 < 1,296 < 1,331 = 11³, so 10 < ∛1,296 < 11 and ∛1,296 ≈ 10.9027

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    https://calculat.io/en/number/cube-root/1296Copy
    <a href="https://calculat.io/en/number/cube-root/1296">Cube Root of 1296 (∛1296): Exact Value and Decimal</a>Copy
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    Cube Root of 1296 (∛1296): Exact Value and Decimal. ∛1,296 = 6∛6 ≈ 10.9027. 1,296 = 6³ × 6, so 6 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/1296/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1,210≈ 10.656
    1,225≈ 10.6999
    1,2804∛20 ≈ 10.8577
    1,2966∛6 ≈ 10.9027
    1,3233∛49 ≈ 10.9779
    1,33111
    1,332≈ 11.0028
    Recalculate with different values ↑

    FAQ

    What is the cube root of 1,296?

    ∛1,296 = 6∛6 ≈ 10.9027

    How to simplify ∛1,296?

    Factor 1,296 into primes: 1,296 = 2 × 2 × 2 × 2 × 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: ∛1,296 = ∛(2³ × 3³ × 6) = 6∛6.

    Is ∛1,296 a rational number?

    No: 1,296 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 ∛1,296 is irrational; its decimal never ends and never repeats: ∛1,296 ≈ 10.9027.

    See Also