Cube Root of 4

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Cube root of

What is the cube root of 4?

Answer

∛4 ≈
1.5874

Real cube root: the only number whose cube is 4.

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

Prime factors
4 = 2 × 2 = 2²
Take out of the root
No prime appears three times, so ∛4 is already in simplest form.
Between cubes
1³ = 1 < 4 < 8 = 2³, so 1 < ∛4 < 2 and ∛4 ≈ 1.5874

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
3≈ 1.4422
27/83/2 = 1.5
3.3751.5
4≈ 1.5874
4.0961.6
4.5≈ 1.651
9/2∛36/2 ≈ 1.651

FAQ

What is the cube root of 4?

∛4 ≈ 1.5874

Can ∛4 be simplified?

No: no prime appears three times in 4, so its only cube factor is 1 and ∛4 is already in simplest form. Since 1³ = 1 < 4 < 8 = 2³, ∛4 lies between 1 and 2: ∛4 ≈ 1.5874.

Is ∛4 a rational number?

No: 4 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 ∛4 is irrational; its decimal never ends and never repeats: ∛4 ≈ 1.5874.

See Also