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    Cube Root of 36

    Cube Root Calculator
    Cube root of

    What is the cube root of 36?

    Answer

    ∛36 ≈
    3.3019

    Real cube root: the only number whose cube is 36.

    ≈ — rounded to 4 decimal places. 36 is not the cube of a rational number, so ∛36 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    36 = 2 × 2 × 3 × 3 = 2² × 3²
    Take out of the root
    No prime appears three times, so ∛36 is already in simplest form.
    Between cubes
    3³ = 27 < 36 < 64 = 4³, so 3 < ∛36 < 4 and ∛36 ≈ 3.3019

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    https://calculat.io/en/number/cube-root/36Copy
    <a href="https://calculat.io/en/number/cube-root/36">Cube Root of 36 (∛36): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 36 (∛36): Exact Value and Decimal. ∛36 ≈ 3.3019. 36 has no cube factor but 1, so ∛36 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/36/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    33≈ 3.2075
    34≈ 3.2396
    35≈ 3.2711
    36≈ 3.3019
    37≈ 3.3322
    38≈ 3.362
    39≈ 3.3912
    Recalculate with different values ↑

    FAQ

    What is the cube root of 36?

    ∛36 ≈ 3.3019

    Can ∛36 be simplified?

    No: no prime appears three times in 36, so its only cube factor is 1 and ∛36 is already in simplest form. Since 3³ = 27 < 36 < 64 = 4³, ∛36 lies between 3 and 4: ∛36 ≈ 3.3019.

    Is ∛36 a rational number?

    No: 36 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 ∛36 is irrational; its decimal never ends and never repeats: ∛36 ≈ 3.3019.

    See Also