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    Cube Root of 2

    Cube Root Calculator
    Cube root of

    What is the cube root of 2?

    Answer

    ∛2 ≈
    1.2599

    Real cube root: the only number whose cube is 2.

    ≈ — rounded to 4 decimal places. 2 is not the cube of a rational number, so ∛2 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    2 is a prime number: no triple of equal factors.
    Between cubes
    1³ = 1 < 2 < 8 = 2³, so 1 < ∛2 < 2 and ∛2 ≈ 1.2599

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    https://calculat.io/en/number/cube-root/2Copy
    <a href="https://calculat.io/en/number/cube-root/2">Cube Root of 2 (∛2): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 2 (∛2): Exact Value and Decimal. ∛2 ≈ 1.2599. 2 has no cube factor but 1, so ∛2 is already simplest; it lies between 1 and 2.
    https://calculat.io/en/number/cube-root/2/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    3/2∛12/2 ≈ 1.1447
    5/3∛45/3 ≈ 1.1856
    1.7281.2
    2≈ 1.2599
    2.1971.3
    2.25≈ 1.3104
    2.5≈ 1.3572
    Recalculate with different values ↑

    FAQ

    What is the cube root of 2?

    ∛2 ≈ 1.2599

    Can ∛2 be simplified?

    No: no prime appears three times in 2, so its only cube factor is 1 and ∛2 is already in simplest form. Since 1³ = 1 < 2 < 8 = 2³, ∛2 lies between 1 and 2: ∛2 ≈ 1.2599.

    Is ∛2 a rational number?

    No: 2 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 ∛2 is irrational; its decimal never ends and never repeats: ∛2 ≈ 1.2599.

    See Also