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    Cube Root of 445

    Cube Root Calculator
    Cube root of

    What is the cube root of 445?

    Answer

    ∛445 ≈
    7.6346

    Real cube root: the only number whose cube is 445.

    ≈ — rounded to 4 decimal places. 445 is not the cube of a rational number, so ∛445 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    445 = 5 × 89
    Take out of the root
    No prime appears three times, so ∛445 is already in simplest form.
    Between cubes
    7³ = 343 < 445 < 512 = 8³, so 7 < ∛445 < 8 and ∛445 ≈ 7.6346

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    https://calculat.io/en/number/cube-root/445Copy
    <a href="https://calculat.io/en/number/cube-root/445">Cube Root of 445 (∛445): Exact Value and Decimal</a>Copy
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    Cube Root of 445 (∛445): Exact Value and Decimal. ∛445 ≈ 7.6346. 445 has no cube factor but 1, so ∛445 is already simplest; it lies between 7 and 8.
    https://calculat.io/en/number/cube-root/445/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    3755∛3 ≈ 7.2112
    425≈ 7.5185
    4326∛2 ≈ 7.5595
    445≈ 7.6346
    4484∛7 ≈ 7.6517
    450≈ 7.6631
    458≈ 7.7082
    Recalculate with different values ↑

    FAQ

    What is the cube root of 445?

    ∛445 ≈ 7.6346

    Can ∛445 be simplified?

    No: no prime appears three times in 445, so its only cube factor is 1 and ∛445 is already in simplest form. Since 7³ = 343 < 445 < 512 = 8³, ∛445 lies between 7 and 8: ∛445 ≈ 7.6346.

    Is ∛445 a rational number?

    No: 445 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 ∛445 is irrational; its decimal never ends and never repeats: ∛445 ≈ 7.6346.

    See Also