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    Cube Root of 450

    Cube Root Calculator
    Cube root of

    What is the cube root of 450?

    Answer

    ∛450 ≈
    7.6631

    Real cube root: the only number whose cube is 450.

    ≈ — rounded to 4 decimal places. 450 is not the cube of a rational number, so ∛450 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    450 = 2 × 3 × 3 × 5 × 5 = 2 × 3² × 5²
    Take out of the root
    No prime appears three times, so ∛450 is already in simplest form.
    Between cubes
    7³ = 343 < 450 < 512 = 8³, so 7 < ∛450 < 8 and ∛450 ≈ 7.6631

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    https://calculat.io/en/number/cube-root/450Copy
    <a href="https://calculat.io/en/number/cube-root/450">Cube Root of 450 (∛450): Exact Value and Decimal</a>Copy
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    Cube Root of 450 (∛450): Exact Value and Decimal. ∛450 ≈ 7.6631. 450 has no cube factor but 1, so ∛450 is already simplest; it lies between 7 and 8.
    https://calculat.io/en/number/cube-root/450/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    4326∛2 ≈ 7.5595
    445≈ 7.6346
    4484∛7 ≈ 7.6517
    450≈ 7.6631
    458≈ 7.7082
    474.5527.8
    4802∛60 ≈ 7.8297
    Recalculate with different values ↑

    FAQ

    What is the cube root of 450?

    ∛450 ≈ 7.6631

    Can ∛450 be simplified?

    No: no prime appears three times in 450, so its only cube factor is 1 and ∛450 is already in simplest form. Since 7³ = 343 < 450 < 512 = 8³, ∛450 lies between 7 and 8: ∛450 ≈ 7.6631.

    Is ∛450 a rational number?

    No: 450 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 ∛450 is irrational; its decimal never ends and never repeats: ∛450 ≈ 7.6631.

    See Also