Cube Root of 7

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Cube root of

What is the cube root of 7?

Answer

∛7 ≈
1.9129

Real cube root: the only number whose cube is 7.

≈ — rounded to 4 decimal places. 7 is not the cube of a rational number, so ∛7 is irrational: its decimal expansion never ends and never repeats.

Prime factors
7 is a prime number: no triple of equal factors.
Between cubes
1³ = 1 < 7 < 8 = 2³, so 1 < ∛7 < 2 and ∛7 ≈ 1.9129

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
5.8321.8
6≈ 1.8171
6.8591.9
7≈ 1.9129
82
9≈ 2.0801
9.2612.1

FAQ

What is the cube root of 7?

∛7 ≈ 1.9129

Can ∛7 be simplified?

No: no prime appears three times in 7, so its only cube factor is 1 and ∛7 is already in simplest form. Since 1³ = 1 < 7 < 8 = 2³, ∛7 lies between 1 and 2: ∛7 ≈ 1.9129.

Is ∛7 a rational number?

No: 7 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 ∛7 is irrational; its decimal never ends and never repeats: ∛7 ≈ 1.9129.

See Also