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    Cube Root of 45

    Cube Root Calculator
    Cube root of

    What is the cube root of 45?

    Answer

    ∛45 ≈
    3.5569

    Real cube root: the only number whose cube is 45.

    ≈ — rounded to 4 decimal places. 45 is not the cube of a rational number, so ∛45 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    45 = 3 × 3 × 5 = 3² × 5
    Take out of the root
    No prime appears three times, so ∛45 is already in simplest form.
    Between cubes
    3³ = 27 < 45 < 64 = 4³, so 3 < ∛45 < 4 and ∛45 ≈ 3.5569

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    https://calculat.io/en/number/cube-root/45Copy
    <a href="https://calculat.io/en/number/cube-root/45">Cube Root of 45 (∛45): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 45 (∛45): Exact Value and Decimal. ∛45 ≈ 3.5569. 45 has no cube factor but 1, so ∛45 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/45/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    42.8753.5
    43≈ 3.5034
    44≈ 3.5303
    45≈ 3.5569
    46≈ 3.583
    47≈ 3.6088
    482∛6 ≈ 3.6342
    Recalculate with different values ↑

    FAQ

    What is the cube root of 45?

    ∛45 ≈ 3.5569

    Can ∛45 be simplified?

    No: no prime appears three times in 45, so its only cube factor is 1 and ∛45 is already in simplest form. Since 3³ = 27 < 45 < 64 = 4³, ∛45 lies between 3 and 4: ∛45 ≈ 3.5569.

    Is ∛45 a rational number?

    No: 45 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 ∛45 is irrational; its decimal never ends and never repeats: ∛45 ≈ 3.5569.

    See Also