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    Cube Root of 53

    Cube Root Calculator
    Cube root of

    What is the cube root of 53?

    Answer

    ∛53 ≈
    3.7563

    Real cube root: the only number whose cube is 53.

    ≈ — rounded to 4 decimal places. 53 is not the cube of a rational number, so ∛53 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    53 is a prime number: no triple of equal factors.
    Between cubes
    3³ = 27 < 53 < 64 = 4³, so 3 < ∛53 < 4 and ∛53 ≈ 3.7563

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    https://calculat.io/en/number/cube-root/53Copy
    <a href="https://calculat.io/en/number/cube-root/53">Cube Root of 53 (∛53): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 53 (∛53): Exact Value and Decimal. ∛53 ≈ 3.7563. 53 has no cube factor but 1, so ∛53 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/53/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    50≈ 3.684
    51≈ 3.7084
    52≈ 3.7325
    53≈ 3.7563
    543∛2 ≈ 3.7798
    55≈ 3.803
    562∛7 ≈ 3.8259
    Recalculate with different values ↑

    FAQ

    What is the cube root of 53?

    ∛53 ≈ 3.7563

    Can ∛53 be simplified?

    No: no prime appears three times in 53, so its only cube factor is 1 and ∛53 is already in simplest form. Since 3³ = 27 < 53 < 64 = 4³, ∛53 lies between 3 and 4: ∛53 ≈ 3.7563.

    Is ∛53 a rational number?

    No: 53 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 ∛53 is irrational; its decimal never ends and never repeats: ∛53 ≈ 3.7563.

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