Cube Root of 49
Cube Root Calculator
What is the cube root of 49?
Answer
∛49 ≈
3.6593
Real cube root: the only number whose cube is 49.
≈ — rounded to 4 decimal places. 49 is not the cube of a rational number, so ∛49 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 49 = 7 × 7 = 7²
- Take out of the root
- No prime appears three times, so ∛49 is already in simplest form.
- Between cubes
- 3³ = 27 < 49 < 64 = 4³, so 3 < ∛49 < 4 and ∛49 ≈ 3.6593
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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
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FAQ
What is the cube root of 49?
∛49 ≈ 3.6593
Can ∛49 be simplified?
No: no prime appears three times in 49, so its only cube factor is 1 and ∛49 is already in simplest form. Since 3³ = 27 < 49 < 64 = 4³, ∛49 lies between 3 and 4: ∛49 ≈ 3.6593.
Is ∛49 a rational number?
No: 49 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 ∛49 is irrational; its decimal never ends and never repeats: ∛49 ≈ 3.6593.
See Also
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