Cube Root of 69

Cube Root Calculator
Cube root of

What is the cube root of 69?

Answer

∛69 ≈
4.1016

Real cube root: the only number whose cube is 69.

≈ — rounded to 4 decimal places. 69 is not the cube of a rational number, so ∛69 is irrational: its decimal expansion never ends and never repeats.

Prime factors
69 = 3 × 23
Take out of the root
No prime appears three times, so ∛69 is already in simplest form.
Between cubes
4³ = 64 < 69 < 125 = 5³, so 4 < ∛69 < 5 and ∛69 ≈ 4.1016

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
66≈ 4.0412
67≈ 4.0615
68≈ 4.0817
69≈ 4.1016
70≈ 4.1213
71≈ 4.1408
722∛9 ≈ 4.1602

FAQ

What is the cube root of 69?

∛69 ≈ 4.1016

Can ∛69 be simplified?

No: no prime appears three times in 69, so its only cube factor is 1 and ∛69 is already in simplest form. Since 4³ = 64 < 69 < 125 = 5³, ∛69 lies between 4 and 5: ∛69 ≈ 4.1016.

Is ∛69 a rational number?

No: 69 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 ∛69 is irrational; its decimal never ends and never repeats: ∛69 ≈ 4.1016.

See Also