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    Cube Root of 7

    Cube Root Calculator
    Cube root of

    What is the cube root of 7?

    Answer

    ∛7 ≈
    1.9129

    Real cube root: the only number whose cube is 7.

    ≈ — rounded to 4 decimal places. 7 is not the cube of a rational number, so ∛7 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    7 is a prime number: no triple of equal factors.
    Between cubes
    1³ = 1 < 7 < 8 = 2³, so 1 < ∛7 < 2 and ∛7 ≈ 1.9129

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    https://calculat.io/en/number/cube-root/7Copy
    <a href="https://calculat.io/en/number/cube-root/7">Cube Root of 7 (∛7): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 7 (∛7): Exact Value and Decimal. ∛7 ≈ 1.9129. 7 has no cube factor but 1, so ∛7 is already simplest; it lies between 1 and 2.
    https://calculat.io/en/number/cube-root/7/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    5.8321.8
    6≈ 1.8171
    6.8591.9
    7≈ 1.9129
    82
    9≈ 2.0801
    9.2612.1
    Recalculate with different values ↑

    FAQ

    What is the cube root of 7?

    ∛7 ≈ 1.9129

    Can ∛7 be simplified?

    No: no prime appears three times in 7, so its only cube factor is 1 and ∛7 is already in simplest form. Since 1³ = 1 < 7 < 8 = 2³, ∛7 lies between 1 and 2: ∛7 ≈ 1.9129.

    Is ∛7 a rational number?

    No: 7 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 ∛7 is irrational; its decimal never ends and never repeats: ∛7 ≈ 1.9129.

    See Also