Cube Root of 41

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Cube root of

What is the cube root of 41?

Answer

∛41 ≈
3.4482

Real cube root: the only number whose cube is 41.

≈ — rounded to 4 decimal places. 41 is not the cube of a rational number, so ∛41 is irrational: its decimal expansion never ends and never repeats.

Prime factors
41 is a prime number: no triple of equal factors.
Between cubes
3³ = 27 < 41 < 64 = 4³, so 3 < ∛41 < 4 and ∛41 ≈ 3.4482

See Also

FAQ

What is the cube root of 41?

∛41 ≈ 3.4482

Can ∛41 be simplified?

No: no prime appears three times in 41, so its only cube factor is 1 and ∛41 is already in simplest form. Since 3³ = 27 < 41 < 64 = 4³, ∛41 lies between 3 and 4: ∛41 ≈ 3.4482.

Is ∛41 a rational number?

No: 41 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 ∛41 is irrational; its decimal never ends and never repeats: ∛41 ≈ 3.4482.