Cube Root of 62
Cube Root Calculator
What is the cube root of 62?
Answer
∛62 ≈
3.9579
Real cube root: the only number whose cube is 62.
≈ — rounded to 4 decimal places. 62 is not the cube of a rational number, so ∛62 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 62 = 2 × 31
- Take out of the root
- No prime appears three times, so ∛62 is already in simplest form.
- Between cubes
- 3³ = 27 < 62 < 64 = 4³, so 3 < ∛62 < 4 and ∛62 ≈ 3.9579
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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 62?
∛62 ≈ 3.9579
Can ∛62 be simplified?
No: no prime appears three times in 62, so its only cube factor is 1 and ∛62 is already in simplest form. Since 3³ = 27 < 62 < 64 = 4³, ∛62 lies between 3 and 4: ∛62 ≈ 3.9579.
Is ∛62 a rational number?
No: 62 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 ∛62 is irrational; its decimal never ends and never repeats: ∛62 ≈ 3.9579.
See Also
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