Cube Root of 11

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Cube root of

What is the cube root of 11?

Answer

∛11 ≈
2.224

Real cube root: the only number whose cube is 11.

≈ — rounded to 4 decimal places. 11 is not the cube of a rational number, so ∛11 is irrational: its decimal expansion never ends and never repeats.

Prime factors
11 is a prime number: no triple of equal factors.
Between cubes
2³ = 8 < 11 < 27 = 3³, so 2 < ∛11 < 3 and ∛11 ≈ 2.224

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See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
9≈ 2.0801
9.2612.1
10≈ 2.1544
11≈ 2.224
12≈ 2.2894
12.1672.3
13≈ 2.3513

FAQ

What is the cube root of 11?

∛11 ≈ 2.224

Can ∛11 be simplified?

No: no prime appears three times in 11, so its only cube factor is 1 and ∛11 is already in simplest form. Since 2³ = 8 < 11 < 27 = 3³, ∛11 lies between 2 and 3: ∛11 ≈ 2.224.

Is ∛11 a rational number?

No: 11 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 ∛11 is irrational; its decimal never ends and never repeats: ∛11 ≈ 2.224.

See Also