Cube Root of 490
Cube Root Calculator
What is the cube root of 490?
Answer
∛490 ≈
7.8837
Real cube root: the only number whose cube is 490.
≈ — rounded to 4 decimal places. 490 is not the cube of a rational number, so ∛490 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 490 = 2 × 5 × 7 × 7 = 2 × 5 × 7²
- Take out of the root
- No prime appears three times, so ∛490 is already in simplest form.
- Between cubes
- 7³ = 343 < 490 < 512 = 8³, so 7 < ∛490 < 8 and ∛490 ≈ 7.8837
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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 490?
∛490 ≈ 7.8837
Can ∛490 be simplified?
No: no prime appears three times in 490, so its only cube factor is 1 and ∛490 is already in simplest form. Since 7³ = 343 < 490 < 512 = 8³, ∛490 lies between 7 and 8: ∛490 ≈ 7.8837.
Is ∛490 a rational number?
No: 490 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 ∛490 is irrational; its decimal never ends and never repeats: ∛490 ≈ 7.8837.
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