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    Cube Root of 3/5

    Cube Root Calculator
    Cube root of

    What is the cube root of 3/5?

    Answer

    ∛(3/5) =
    ∛75/5 ≈ 0.8434

    Real cube root: the only number whose cube is 3/5.

    ≈ — rounded to 4 decimal places. 3/5 is not the cube of a rational number, so ∛(3/5) is irrational: its decimal expansion never ends and never repeats.

    Root of a fraction
    ∛(3/5) = ∛3/∛5
    Multiply by ∛(5²) = ∛25
    ∛3/∛5 = ∛75/∛125 = ∛75/5 ≈ 0.8434

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    https://calculat.io/en/number/cube-root/3-5Copy
    <a href="https://calculat.io/en/number/cube-root/3-5">Cube Root of 3/5 (∛(3/5)): Exact Value and Decimal</a>Copy
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    Cube Root of 3/5 (∛(3/5)): Exact Value and Decimal. ∛(3/5) = ∛75/5 ≈ 0.8434. ∛(3/5) = ∛3/∛5; multiplying by ∛25 clears the root from the denominator.
    https://calculat.io/en/number/cube-root/3-5/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    0.5120.8
    64/1254/5 = 0.8
    125/2165/6 ≈ 0.8333
    3/5∛75/5 ≈ 0.8434
    216/3436/7 ≈ 0.8571
    2/3∛18/3 ≈ 0.8736
    343/5127/8 = 0.875
    Recalculate with different values ↑

    FAQ

    What is the cube root of 3/5?

    ∛(3/5) = ∛75/5 ≈ 0.8434

    Why is ∛(3/5) = ∛75/5?

    ∛(3/5) = ∛3/∛5. Multiplying the numerator and the denominator by ∛(5²) = ∛25 makes the denominator a perfect cube: ∛75/∛125 = ∛75/5. The value does not change; only the root leaves the denominator.

    Is ∛(3/5) a rational number?

    No: 3/5 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 ∛(3/5) is irrational; its decimal never ends and never repeats: ∛(3/5) ≈ 0.8434.

    See Also