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    Cube Root of 63

    Cube Root Calculator
    Cube root of

    What is the cube root of 63?

    Answer

    ∛63 ≈
    3.9791

    Real cube root: the only number whose cube is 63.

    ≈ — rounded to 4 decimal places. 63 is not the cube of a rational number, so ∛63 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    63 = 3 × 3 × 7 = 3² × 7
    Take out of the root
    No prime appears three times, so ∛63 is already in simplest form.
    Between cubes
    3³ = 27 < 63 < 64 = 4³, so 3 < ∛63 < 4 and ∛63 ≈ 3.9791

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    https://calculat.io/en/number/cube-root/63Copy
    <a href="https://calculat.io/en/number/cube-root/63">Cube Root of 63 (∛63): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 63 (∛63): Exact Value and Decimal. ∛63 ≈ 3.9791. 63 has no cube factor but 1, so ∛63 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/63/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    60≈ 3.9149
    61≈ 3.9365
    62≈ 3.9579
    63≈ 3.9791
    644
    65≈ 4.0207
    66≈ 4.0412
    Recalculate with different values ↑

    FAQ

    What is the cube root of 63?

    ∛63 ≈ 3.9791

    Can ∛63 be simplified?

    No: no prime appears three times in 63, so its only cube factor is 1 and ∛63 is already in simplest form. Since 3³ = 27 < 63 < 64 = 4³, ∛63 lies between 3 and 4: ∛63 ≈ 3.9791.

    Is ∛63 a rational number?

    No: 63 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 ∛63 is irrational; its decimal never ends and never repeats: ∛63 ≈ 3.9791.

    See Also