Cube Root of 10
Cube Root Calculator
What is the cube root of 10?
Answer
∛10 ≈
2.1544
Real cube root: the only number whose cube is 10.
≈ — rounded to 4 decimal places. 10 is not the cube of a rational number, so ∛10 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 10 = 2 × 5
- Take out of the root
- No prime appears three times, so ∛10 is already in simplest form.
- Between cubes
- 2³ = 8 < 10 < 27 = 3³, so 2 < ∛10 < 3 and ∛10 ≈ 2.1544
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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 10?
∛10 ≈ 2.1544
Can ∛10 be simplified?
No: no prime appears three times in 10, so its only cube factor is 1 and ∛10 is already in simplest form. Since 2³ = 8 < 10 < 27 = 3³, ∛10 lies between 2 and 3: ∛10 ≈ 2.1544.
Is ∛10 a rational number?
No: 10 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 ∛10 is irrational; its decimal never ends and never repeats: ∛10 ≈ 2.1544.
See Also
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