Cube Root of 80
Cube Root Calculator
What is the cube root of 80?
Answer
∛80 =
2∛10 ≈ 4.3089
Real cube root: the only number whose cube is 80.
≈ — rounded to 4 decimal places. 80 is not the cube of a rational number, so ∛80 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 80 = (2 × 2 × 2) × 2 × 5 = 2⁴ × 5
- Take out of the root
- ∛80 = ∛(2³ × 10) = 2∛10
- Between cubes
- 4³ = 64 < 80 < 125 = 5³, so 4 < ∛80 < 5 and ∛80 ≈ 4.3089
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FAQ
What is the cube root of 80?
∛80 = 2∛10 ≈ 4.3089
How to simplify ∛80?
Factor 80 into primes: 80 = 2 × 2 × 2 × 2 × 5. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛80 = ∛(2³ × 10) = 2∛10.
Is ∛80 a rational number?
No: 80 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 ∛80 is irrational; its decimal never ends and never repeats: ∛80 ≈ 4.3089.
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