Cube Root of 88
Cube Root Calculator
What is the cube root of 88?
Answer
∛88 =
2∛11 ≈ 4.448
Real cube root: the only number whose cube is 88.
≈ — rounded to 4 decimal places. 88 is not the cube of a rational number, so ∛88 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 88 = (2 × 2 × 2) × 11 = 2³ × 11
- Take out of the root
- ∛88 = ∛(2³ × 11) = 2∛11
- Between cubes
- 4³ = 64 < 88 < 125 = 5³, so 4 < ∛88 < 5 and ∛88 ≈ 4.448
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FAQ
What is the cube root of 88?
∛88 = 2∛11 ≈ 4.448
How to simplify ∛88?
Factor 88 into primes: 88 = 2 × 2 × 2 × 11. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛88 = ∛(2³ × 11) = 2∛11.
Is ∛88 a rational number?
No: 88 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 ∛88 is irrational; its decimal never ends and never repeats: ∛88 ≈ 4.448.
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