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    Cube Root of 375

    Cube Root Calculator
    Cube root of

    What is the cube root of 375?

    Answer

    ∛375 =
    5∛3 ≈ 7.2112

    Real cube root: the only number whose cube is 375.

    ≈ — rounded to 4 decimal places. 375 is not the cube of a rational number, so ∛375 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    375 = 3 × (5 × 5 × 5) = 3 × 5³
    Take out of the root
    ∛375 = ∛(5³ × 3) = 5∛3
    Between cubes
    7³ = 343 < 375 < 512 = 8³, so 7 < ∛375 < 8 and ∛375 ≈ 7.2112

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    https://calculat.io/en/number/cube-root/375Copy
    <a href="https://calculat.io/en/number/cube-root/375">Cube Root of 375 (∛375): Exact Value and Decimal</a>Copy
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    Cube Root of 375 (∛375): Exact Value and Decimal. ∛375 = 5∛3 ≈ 7.2112. 375 = 5³ × 3, so 5 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/375/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    331≈ 6.9174
    3362∛42 ≈ 6.9521
    3437
    3755∛3 ≈ 7.2112
    425≈ 7.5185
    4326∛2 ≈ 7.5595
    445≈ 7.6346
    Recalculate with different values ↑

    FAQ

    What is the cube root of 375?

    ∛375 = 5∛3 ≈ 7.2112

    How to simplify ∛375?

    Factor 375 into primes: 375 = 3 × 5 × 5 × 5. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛375 = ∛(5³ × 3) = 5∛3.

    Is ∛375 a rational number?

    No: 375 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 ∛375 is irrational; its decimal never ends and never repeats: ∛375 ≈ 7.2112.

    See Also