Cube Root of 44

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Cube root of

What is the cube root of 44?

Answer

∛44 ≈
3.5303

Real cube root: the only number whose cube is 44.

≈ — rounded to 4 decimal places. 44 is not the cube of a rational number, so ∛44 is irrational: its decimal expansion never ends and never repeats.

Prime factors
44 = 2 × 2 × 11 = 2² × 11
Take out of the root
No prime appears three times, so ∛44 is already in simplest form.
Between cubes
3³ = 27 < 44 < 64 = 4³, so 3 < ∛44 < 4 and ∛44 ≈ 3.5303

See Also

FAQ

What is the cube root of 44?

∛44 ≈ 3.5303

Can ∛44 be simplified?

No: no prime appears three times in 44, so its only cube factor is 1 and ∛44 is already in simplest form. Since 3³ = 27 < 44 < 64 = 4³, ∛44 lies between 3 and 4: ∛44 ≈ 3.5303.

Is ∛44 a rational number?

No: 44 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 ∛44 is irrational; its decimal never ends and never repeats: ∛44 ≈ 3.5303.