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    Cube Root of 1/25

    Cube Root Calculator
    Cube root of

    What is the cube root of 1/25?

    Answer

    ∛(1/25) =
    ∛5/5 ≈ 0.342

    Real cube root: the only number whose cube is 1/25.

    ≈ — rounded to 4 decimal places. 1/25 is not the cube of a rational number, so ∛(1/25) is irrational: its decimal expansion never ends and never repeats.

    1/25 = 0.04.

    Root of a fraction
    ∛(1/25) = ∛1/∛25 = 1/∛25
    Multiply by ∛(25²) = ∛625
    1/∛25 = ∛625/∛15,625 = ∛625/25
    Take out of the root
    ∛625/25 = ∛(5³ × 5)/25 = 5∛5/25 = ∛5/5 ≈ 0.342

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    https://calculat.io/en/number/cube-root/1-25Copy
    <a href="https://calculat.io/en/number/cube-root/1-25">Cube Root of 1/25 (∛(1/25)): Exact Value and Decimal</a>Copy
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    Cube Root of 1/25 (∛(1/25)): Exact Value and Decimal. ∛(1/25) = ∛5/5 ≈ 0.342. ∛(1/25) = ∛1/∛25; multiplying by ∛625 clears the root from the denominator.
    https://calculat.io/en/number/cube-root/1-25/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    27/10003/10 = 0.3
    1/271/3 ≈ 0.3333
    0.04≈ 0.342
    1/25∛5/5 ≈ 0.342
    27/5123/8 = 0.375
    0.0640.4
    8/1252/5 = 0.4
    Recalculate with different values ↑

    FAQ

    What is the cube root of 1/25?

    ∛(1/25) = ∛5/5 ≈ 0.342

    Why is ∛(1/25) = ∛5/5?

    ∛(1/25) = ∛1/∛25. Multiplying the numerator and the denominator by ∛(25²) = ∛625 makes the denominator a perfect cube: ∛625/∛15,625 = ∛625/25. Taking the cubes out of ∛625 and reducing gives ∛5/5. The value does not change; only the root leaves the denominator.

    Is ∛(1/25) a rational number?

    No: 1/25 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 ∛(1/25) is irrational; its decimal never ends and never repeats: ∛(1/25) ≈ 0.342.

    See Also