Cube Root of 2

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Cube root of

What is the cube root of 2?

Answer

∛2 ≈
1.2599

Real cube root: the only number whose cube is 2.

≈ — rounded to 4 decimal places. 2 is not the cube of a rational number, so ∛2 is irrational: its decimal expansion never ends and never repeats.

Prime factors
2 is a prime number: no triple of equal factors.
Between cubes
1³ = 1 < 2 < 8 = 2³, so 1 < ∛2 < 2 and ∛2 ≈ 1.2599

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
3/2∛12/2 ≈ 1.1447
5/3∛45/3 ≈ 1.1856
1.7281.2
2≈ 1.2599
2.1971.3
2.25≈ 1.3104
2.5≈ 1.3572

FAQ

What is the cube root of 2?

∛2 ≈ 1.2599

Can ∛2 be simplified?

No: no prime appears three times in 2, so its only cube factor is 1 and ∛2 is already in simplest form. Since 1³ = 1 < 2 < 8 = 2³, ∛2 lies between 1 and 2: ∛2 ≈ 1.2599.

Is ∛2 a rational number?

No: 2 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 ∛2 is irrational; its decimal never ends and never repeats: ∛2 ≈ 1.2599.

See Also