Cube Root of 2/3
Cube Root Calculator
What is the cube root of 2/3?
Answer
∛(2/3) =
∛18/3 ≈ 0.8736
Real cube root: the only number whose cube is 2/3.
≈ — rounded to 4 decimal places. 2/3 is not the cube of a rational number, so ∛(2/3) is irrational: its decimal expansion never ends and never repeats.
- Root of a fraction
- ∛(2/3) = ∛2/∛3
- Multiply by ∛(3²) = ∛9
- ∛2/∛3 = ∛18/∛27 = ∛18/3 ≈ 0.8736
See Also
- Square Root Calculator - Calculate the square root of any number
- Simplify Square Root Calculator - Write any square root in simplest radical form, step by step
- Prime Factorization - Prime Factorization Calculator
- Scientific Calculator with Memory & History - Free Engineering Calculator Online with Memory Function, Operation History, Logarithms & Trigonometry. Similar to ti-83, ti-84, ti-89
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FAQ
What is the cube root of 2/3?
∛(2/3) = ∛18/3 ≈ 0.8736
Why is ∛(2/3) = ∛18/3?
∛(2/3) = ∛2/∛3. Multiplying the numerator and the denominator by ∛(3²) = ∛9 makes the denominator a perfect cube: ∛18/∛27 = ∛18/3. The value does not change; only the root leaves the denominator.
Is ∛(2/3) a rational number?
No: 2/3 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 ∛(2/3) is irrational; its decimal never ends and never repeats: ∛(2/3) ≈ 0.8736.
See Also
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