Cube Root of 149

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Cube root of

What is the cube root of 149?

Answer

∛149 ≈
5.3015

Real cube root: the only number whose cube is 149.

≈ — rounded to 4 decimal places. 149 is not the cube of a rational number, so ∛149 is irrational: its decimal expansion never ends and never repeats.

Prime factors
149 is a prime number: no triple of equal factors.
Between cubes
5³ = 125 < 149 < 216 = 6³, so 5 < ∛149 < 6 and ∛149 ≈ 5.3015

See Also

FAQ

What is the cube root of 149?

∛149 ≈ 5.3015

Can ∛149 be simplified?

No: no prime appears three times in 149, so its only cube factor is 1 and ∛149 is already in simplest form. Since 5³ = 125 < 149 < 216 = 6³, ∛149 lies between 5 and 6: ∛149 ≈ 5.3015.

Is ∛149 a rational number?

No: 149 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 ∛149 is irrational; its decimal never ends and never repeats: ∛149 ≈ 5.3015.