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    Cube Root of 172

    Cube Root Calculator
    Cube root of

    What is the cube root of 172?

    Answer

    ∛172 ≈
    5.5613

    Real cube root: the only number whose cube is 172.

    ≈ — rounded to 4 decimal places. 172 is not the cube of a rational number, so ∛172 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    172 = 2 × 2 × 43 = 2² × 43
    Take out of the root
    No prime appears three times, so ∛172 is already in simplest form.
    Between cubes
    5³ = 125 < 172 < 216 = 6³, so 5 < ∛172 < 6 and ∛172 ≈ 5.5613

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    https://calculat.io/en/number/cube-root/172Copy
    <a href="https://calculat.io/en/number/cube-root/172">Cube Root of 172 (∛172): Exact Value and Decimal</a>Copy
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    Cube Root of 172 (∛172): Exact Value and Decimal. ∛172 ≈ 5.5613. 172 has no cube factor but 1, so ∛172 is already simplest; it lies between 5 and 6.
    https://calculat.io/en/number/cube-root/172/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1623∛6 ≈ 5.4514
    167≈ 5.5069
    169≈ 5.5288
    172≈ 5.5613
    173≈ 5.5721
    175≈ 5.5934
    178≈ 5.6252
    Recalculate with different values ↑

    FAQ

    What is the cube root of 172?

    ∛172 ≈ 5.5613

    Can ∛172 be simplified?

    No: no prime appears three times in 172, so its only cube factor is 1 and ∛172 is already in simplest form. Since 5³ = 125 < 172 < 216 = 6³, ∛172 lies between 5 and 6: ∛172 ≈ 5.5613.

    Is ∛172 a rational number?

    No: 172 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 ∛172 is irrational; its decimal never ends and never repeats: ∛172 ≈ 5.5613.

    See Also