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    Cube Root of 49

    Cube Root Calculator
    Cube root of

    What is the cube root of 49?

    Answer

    ∛49 ≈
    3.6593

    Real cube root: the only number whose cube is 49.

    ≈ — rounded to 4 decimal places. 49 is not the cube of a rational number, so ∛49 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    49 = 7 × 7 = 7²
    Take out of the root
    No prime appears three times, so ∛49 is already in simplest form.
    Between cubes
    3³ = 27 < 49 < 64 = 4³, so 3 < ∛49 < 4 and ∛49 ≈ 3.6593

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    https://calculat.io/en/number/cube-root/49Copy
    <a href="https://calculat.io/en/number/cube-root/49">Cube Root of 49 (∛49): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 49 (∛49): Exact Value and Decimal. ∛49 ≈ 3.6593. 49 has no cube factor but 1, so ∛49 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/49/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    46≈ 3.583
    47≈ 3.6088
    482∛6 ≈ 3.6342
    49≈ 3.6593
    50≈ 3.684
    51≈ 3.7084
    52≈ 3.7325
    Recalculate with different values ↑

    FAQ

    What is the cube root of 49?

    ∛49 ≈ 3.6593

    Can ∛49 be simplified?

    No: no prime appears three times in 49, so its only cube factor is 1 and ∛49 is already in simplest form. Since 3³ = 27 < 49 < 64 = 4³, ∛49 lies between 3 and 4: ∛49 ≈ 3.6593.

    Is ∛49 a rational number?

    No: 49 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 ∛49 is irrational; its decimal never ends and never repeats: ∛49 ≈ 3.6593.

    See Also