Cube Root of 23

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Cube root of

What is the cube root of 23?

Answer

∛23 ≈
2.8439

Real cube root: the only number whose cube is 23.

≈ — rounded to 4 decimal places. 23 is not the cube of a rational number, so ∛23 is irrational: its decimal expansion never ends and never repeats.

Prime factors
23 is a prime number: no triple of equal factors.
Between cubes
2³ = 8 < 23 < 27 = 3³, so 2 < ∛23 < 3 and ∛23 ≈ 2.8439

See Also

FAQ

What is the cube root of 23?

∛23 ≈ 2.8439

Can ∛23 be simplified?

No: no prime appears three times in 23, so its only cube factor is 1 and ∛23 is already in simplest form. Since 2³ = 8 < 23 < 27 = 3³, ∛23 lies between 2 and 3: ∛23 ≈ 2.8439.

Is ∛23 a rational number?

No: 23 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 ∛23 is irrational; its decimal never ends and never repeats: ∛23 ≈ 2.8439.