Cube Root of 70

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Cube root of

What is the cube root of 70?

Answer

∛70 ≈
4.1213

Real cube root: the only number whose cube is 70.

≈ — rounded to 4 decimal places. 70 is not the cube of a rational number, so ∛70 is irrational: its decimal expansion never ends and never repeats.

Prime factors
70 = 2 × 5 × 7
Take out of the root
No prime appears three times, so ∛70 is already in simplest form.
Between cubes
4³ = 64 < 70 < 125 = 5³, so 4 < ∛70 < 5 and ∛70 ≈ 4.1213

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See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
67≈ 4.0615
68≈ 4.0817
69≈ 4.1016
70≈ 4.1213
71≈ 4.1408
722∛9 ≈ 4.1602
73≈ 4.1793

FAQ

What is the cube root of 70?

∛70 ≈ 4.1213

Can ∛70 be simplified?

No: no prime appears three times in 70, so its only cube factor is 1 and ∛70 is already in simplest form. Since 4³ = 64 < 70 < 125 = 5³, ∛70 lies between 4 and 5: ∛70 ≈ 4.1213.

Is ∛70 a rational number?

No: 70 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 ∛70 is irrational; its decimal never ends and never repeats: ∛70 ≈ 4.1213.

See Also