Cube Root of 30

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Cube root of

What is the cube root of 30?

Answer

∛30 ≈
3.1072

Real cube root: the only number whose cube is 30.

≈ — rounded to 4 decimal places. 30 is not the cube of a rational number, so ∛30 is irrational: its decimal expansion never ends and never repeats.

Prime factors
30 = 2 × 3 × 5
Take out of the root
No prime appears three times, so ∛30 is already in simplest form.
Between cubes
3³ = 27 < 30 < 64 = 4³, so 3 < ∛30 < 4 and ∛30 ≈ 3.1072

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
28≈ 3.0366
29≈ 3.0723
29.5≈ 3.0899
30≈ 3.1072
31≈ 3.1414
322∛4 ≈ 3.1748
32.7683.2

FAQ

What is the cube root of 30?

∛30 ≈ 3.1072

Can ∛30 be simplified?

No: no prime appears three times in 30, so its only cube factor is 1 and ∛30 is already in simplest form. Since 3³ = 27 < 30 < 64 = 4³, ∛30 lies between 3 and 4: ∛30 ≈ 3.1072.

Is ∛30 a rational number?

No: 30 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 ∛30 is irrational; its decimal never ends and never repeats: ∛30 ≈ 3.1072.

See Also