Cube Root of 79

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Cube root of

What is the cube root of 79?

Answer

∛79 ≈
4.2908

Real cube root: the only number whose cube is 79.

≈ — rounded to 4 decimal places. 79 is not the cube of a rational number, so ∛79 is irrational: its decimal expansion never ends and never repeats.

Prime factors
79 is a prime number: no triple of equal factors.
Between cubes
4³ = 64 < 79 < 125 = 5³, so 4 < ∛79 < 5 and ∛79 ≈ 4.2908

See Also

FAQ

What is the cube root of 79?

∛79 ≈ 4.2908

Can ∛79 be simplified?

No: no prime appears three times in 79, so its only cube factor is 1 and ∛79 is already in simplest form. Since 4³ = 64 < 79 < 125 = 5³, ∛79 lies between 4 and 5: ∛79 ≈ 4.2908.

Is ∛79 a rational number?

No: 79 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 ∛79 is irrational; its decimal never ends and never repeats: ∛79 ≈ 4.2908.