Cube Root of 19

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Cube root of

What is the cube root of 19?

Answer

∛19 ≈
2.6684

Real cube root: the only number whose cube is 19.

≈ — rounded to 4 decimal places. 19 is not the cube of a rational number, so ∛19 is irrational: its decimal expansion never ends and never repeats.

Prime factors
19 is a prime number: no triple of equal factors.
Between cubes
2³ = 8 < 19 < 27 = 3³, so 2 < ∛19 < 3 and ∛19 ≈ 2.6684

See Also

FAQ

What is the cube root of 19?

∛19 ≈ 2.6684

Can ∛19 be simplified?

No: no prime appears three times in 19, so its only cube factor is 1 and ∛19 is already in simplest form. Since 2³ = 8 < 19 < 27 = 3³, ∛19 lies between 2 and 3: ∛19 ≈ 2.6684.

Is ∛19 a rational number?

No: 19 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 ∛19 is irrational; its decimal never ends and never repeats: ∛19 ≈ 2.6684.