Cube Root of 5

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Cube root of

What is the cube root of 5?

Answer

∛5 ≈
1.71

Real cube root: the only number whose cube is 5.

≈ — rounded to 4 decimal places. 5 is not the cube of a rational number, so ∛5 is irrational: its decimal expansion never ends and never repeats.

Prime factors
5 is a prime number: no triple of equal factors.
Between cubes
1³ = 1 < 5 < 8 = 2³, so 1 < ∛5 < 2 and ∛5 ≈ 1.71

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
9/2∛36/2 ≈ 1.651
125/275/3 ≈ 1.6667
4.9131.7
5≈ 1.71
5.8321.8
6≈ 1.8171
6.8591.9

FAQ

What is the cube root of 5?

∛5 ≈ 1.71

Can ∛5 be simplified?

No: no prime appears three times in 5, so its only cube factor is 1 and ∛5 is already in simplest form. Since 1³ = 1 < 5 < 8 = 2³, ∛5 lies between 1 and 2: ∛5 ≈ 1.71.

Is ∛5 a rational number?

No: 5 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 ∛5 is irrational; its decimal never ends and never repeats: ∛5 ≈ 1.71.

See Also