Cube Root of 28

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Cube root of

What is the cube root of 28?

Answer

∛28 ≈
3.0366

Real cube root: the only number whose cube is 28.

≈ — rounded to 4 decimal places. 28 is not the cube of a rational number, so ∛28 is irrational: its decimal expansion never ends and never repeats.

Prime factors
28 = 2 × 2 × 7 = 2² × 7
Take out of the root
No prime appears three times, so ∛28 is already in simplest form.
Between cubes
3³ = 27 < 28 < 64 = 4³, so 3 < ∛28 < 4 and ∛28 ≈ 3.0366

See Also

Cube roots of nearby values

FAQ

What is the cube root of 28?

∛28 ≈ 3.0366

Can ∛28 be simplified?

No: no prime appears three times in 28, so its only cube factor is 1 and ∛28 is already in simplest form. Since 3³ = 27 < 28 < 64 = 4³, ∛28 lies between 3 and 4: ∛28 ≈ 3.0366.

Is ∛28 a rational number?

No: 28 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 ∛28 is irrational; its decimal never ends and never repeats: ∛28 ≈ 3.0366.