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    Cube Root of 173

    Cube Root Calculator
    Cube root of

    What is the cube root of 173?

    Answer

    ∛173 ≈
    5.5721

    Real cube root: the only number whose cube is 173.

    ≈ — rounded to 4 decimal places. 173 is not the cube of a rational number, so ∛173 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    173 is a prime number: no triple of equal factors.
    Between cubes
    5³ = 125 < 173 < 216 = 6³, so 5 < ∛173 < 6 and ∛173 ≈ 5.5721

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    https://calculat.io/en/number/cube-root/173Copy
    <a href="https://calculat.io/en/number/cube-root/173">Cube Root of 173 (∛173): Exact Value and Decimal</a>Copy
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    Cube Root of 173 (∛173): Exact Value and Decimal. ∛173 ≈ 5.5721. 173 has no cube factor but 1, so ∛173 is already simplest; it lies between 5 and 6.
    https://calculat.io/en/number/cube-root/173/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    167≈ 5.5069
    169≈ 5.5288
    172≈ 5.5613
    173≈ 5.5721
    175≈ 5.5934
    178≈ 5.6252
    180≈ 5.6462
    Recalculate with different values ↑

    FAQ

    What is the cube root of 173?

    ∛173 ≈ 5.5721

    Can ∛173 be simplified?

    No: no prime appears three times in 173, so its only cube factor is 1 and ∛173 is already in simplest form. Since 5³ = 125 < 173 < 216 = 6³, ∛173 lies between 5 and 6: ∛173 ≈ 5.5721.

    Is ∛173 a rational number?

    No: 173 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 ∛173 is irrational; its decimal never ends and never repeats: ∛173 ≈ 5.5721.

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