Cube Root of 98
Cube Root Calculator
What is the cube root of 98?
Answer
∛98 ≈
4.6104
Real cube root: the only number whose cube is 98.
≈ — rounded to 4 decimal places. 98 is not the cube of a rational number, so ∛98 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 98 = 2 × 7 × 7 = 2 × 7²
- Take out of the root
- No prime appears three times, so ∛98 is already in simplest form.
- Between cubes
- 4³ = 64 < 98 < 125 = 5³, so 4 < ∛98 < 5 and ∛98 ≈ 4.6104
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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 98?
∛98 ≈ 4.6104
Can ∛98 be simplified?
No: no prime appears three times in 98, so its only cube factor is 1 and ∛98 is already in simplest form. Since 4³ = 64 < 98 < 125 = 5³, ∛98 lies between 4 and 5: ∛98 ≈ 4.6104.
Is ∛98 a rational number?
No: 98 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 ∛98 is irrational; its decimal never ends and never repeats: ∛98 ≈ 4.6104.
See Also
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