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    Cube Root of 26

    Cube Root Calculator
    Cube root of

    What is the cube root of 26?

    Answer

    ∛26 ≈
    2.9625

    Real cube root: the only number whose cube is 26.

    ≈ — rounded to 4 decimal places. 26 is not the cube of a rational number, so ∛26 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    26 = 2 × 13
    Take out of the root
    No prime appears three times, so ∛26 is already in simplest form.
    Between cubes
    2³ = 8 < 26 < 27 = 3³, so 2 < ∛26 < 3 and ∛26 ≈ 2.9625

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    https://calculat.io/en/number/cube-root/26Copy
    <a href="https://calculat.io/en/number/cube-root/26">Cube Root of 26 (∛26): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 26 (∛26): Exact Value and Decimal. ∛26 ≈ 2.9625. 26 has no cube factor but 1, so ∛26 is already simplest; it lies between 2 and 3.
    https://calculat.io/en/number/cube-root/26/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    23≈ 2.8439
    242∛3 ≈ 2.8845
    25≈ 2.924
    26≈ 2.9625
    273
    28≈ 3.0366
    29≈ 3.0723
    Recalculate with different values ↑

    FAQ

    What is the cube root of 26?

    ∛26 ≈ 2.9625

    Can ∛26 be simplified?

    No: no prime appears three times in 26, so its only cube factor is 1 and ∛26 is already in simplest form. Since 2³ = 8 < 26 < 27 = 3³, ∛26 lies between 2 and 3: ∛26 ≈ 2.9625.

    Is ∛26 a rational number?

    No: 26 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 ∛26 is irrational; its decimal never ends and never repeats: ∛26 ≈ 2.9625.

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