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    Cube Root of 5

    Cube Root Calculator
    Cube root of

    What is the cube root of 5?

    Answer

    ∛5 ≈
    1.71

    Real cube root: the only number whose cube is 5.

    ≈ — rounded to 4 decimal places. 5 is not the cube of a rational number, so ∛5 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    5 is a prime number: no triple of equal factors.
    Between cubes
    1³ = 1 < 5 < 8 = 2³, so 1 < ∛5 < 2 and ∛5 ≈ 1.71

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    https://calculat.io/en/number/cube-root/5Copy
    <a href="https://calculat.io/en/number/cube-root/5">Cube Root of 5 (∛5): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 5 (∛5): Exact Value and Decimal. ∛5 ≈ 1.71. 5 has no cube factor but 1, so ∛5 is already simplest; it lies between 1 and 2.
    https://calculat.io/en/number/cube-root/5/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    9/2∛36/2 ≈ 1.651
    125/275/3 ≈ 1.6667
    4.9131.7
    5≈ 1.71
    5.8321.8
    6≈ 1.8171
    6.8591.9
    Recalculate with different values ↑

    FAQ

    What is the cube root of 5?

    ∛5 ≈ 1.71

    Can ∛5 be simplified?

    No: no prime appears three times in 5, so its only cube factor is 1 and ∛5 is already in simplest form. Since 1³ = 1 < 5 < 8 = 2³, ∛5 lies between 1 and 2: ∛5 ≈ 1.71.

    Is ∛5 a rational number?

    No: 5 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 ∛5 is irrational; its decimal never ends and never repeats: ∛5 ≈ 1.71.

    See Also