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    Cube Root of 17.5

    Cube Root Calculator
    Cube root of

    What is the cube root of 17.5?

    Answer

    ∛17.5 ≈
    2.5962

    Real cube root: the only number whose cube is 17.5.

    ≈ — rounded to 4 decimal places. 17.5 is not the cube of a rational number, so ∛17.5 is irrational: its decimal expansion never ends and never repeats.

    Between cubes
    2³ = 8 < 17.5 < 27 = 3³, so 2 < ∛17.5 < 3 and ∛17.5 ≈ 2.5962

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    https://calculat.io/en/number/cube-root/17.5Copy
    <a href="https://calculat.io/en/number/cube-root/17.5">Cube Root of 17.5 (∛17.5): Exact Value and Decimal</a>Copy
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    Cube Root of 17.5 (∛17.5): Exact Value and Decimal. ∛17.5 ≈ 2.5962. 17.5 is not the cube of a decimal: 2³ = 8 < 17.5 < 27 = 3³.
    https://calculat.io/en/number/cube-root/17.5/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    15.6252.5
    162∛2 ≈ 2.5198
    17≈ 2.5713
    17.5≈ 2.5962
    18≈ 2.6207
    19≈ 2.6684
    20≈ 2.7144
    Recalculate with different values ↑

    FAQ

    What is the cube root of 17.5?

    ∛17.5 ≈ 2.5962

    How to find ∛17.5 without a calculator?

    Bracket it between cubes: 2³ = 8 < 17.5 < 27 = 3³, so ∛17.5 lies between 2 and 3. Narrowing the bracket digit by digit gives ∛17.5 ≈ 2.5962; 17.5 is not the cube of a decimal, so the root never ends.

    Is ∛17.5 a rational number?

    No: 17.5 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 ∛17.5 is irrational; its decimal never ends and never repeats: ∛17.5 ≈ 2.5962.

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