Cube Root of 13

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Cube root of

What is the cube root of 13?

Answer

∛13 ≈
2.3513

Real cube root: the only number whose cube is 13.

≈ — rounded to 4 decimal places. 13 is not the cube of a rational number, so ∛13 is irrational: its decimal expansion never ends and never repeats.

Prime factors
13 is a prime number: no triple of equal factors.
Between cubes
2³ = 8 < 13 < 27 = 3³, so 2 < ∛13 < 3 and ∛13 ≈ 2.3513

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
11≈ 2.224
12≈ 2.2894
12.1672.3
13≈ 2.3513
14≈ 2.4101
15≈ 2.4662
125/85/2 = 2.5

FAQ

What is the cube root of 13?

∛13 ≈ 2.3513

Can ∛13 be simplified?

No: no prime appears three times in 13, so its only cube factor is 1 and ∛13 is already in simplest form. Since 2³ = 8 < 13 < 27 = 3³, ∛13 lies between 2 and 3: ∛13 ≈ 2.3513.

Is ∛13 a rational number?

No: 13 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 ∛13 is irrational; its decimal never ends and never repeats: ∛13 ≈ 2.3513.

See Also