Cube Root of 26
Cube Root Calculator
What is the cube root of 26?
Answer
∛26 ≈
2.9625
Real cube root: the only number whose cube is 26.
≈ — rounded to 4 decimal places. 26 is not the cube of a rational number, so ∛26 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 26 = 2 × 13
- Take out of the root
- No prime appears three times, so ∛26 is already in simplest form.
- Between cubes
- 2³ = 8 < 26 < 27 = 3³, so 2 < ∛26 < 3 and ∛26 ≈ 2.9625
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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
FAQ
What is the cube root of 26?
∛26 ≈ 2.9625
Can ∛26 be simplified?
No: no prime appears three times in 26, so its only cube factor is 1 and ∛26 is already in simplest form. Since 2³ = 8 < 26 < 27 = 3³, ∛26 lies between 2 and 3: ∛26 ≈ 2.9625.
Is ∛26 a rational number?
No: 26 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 ∛26 is irrational; its decimal never ends and never repeats: ∛26 ≈ 2.9625.
See Also
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- Cube Root of 20.25 (∛20.25): Exact Value and Decimal
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- Cube Root of 27 (∛27): Exact Value and Decimal
- Cube Root of 27/8 (∛(27/8)): Exact Value and Decimal
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