Cube Root of 620
Cube Root Calculator
What is the cube root of 620?
Answer
∛620 ≈
8.527
Real cube root: the only number whose cube is 620.
≈ — rounded to 4 decimal places. 620 is not the cube of a rational number, so ∛620 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 620 = 2 × 2 × 5 × 31 = 2² × 5 × 31
- Take out of the root
- No prime appears three times, so ∛620 is already in simplest form.
- Between cubes
- 8³ = 512 < 620 < 729 = 9³, so 8 < ∛620 < 9 and ∛620 ≈ 8.527
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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 620?
∛620 ≈ 8.527
Can ∛620 be simplified?
No: no prime appears three times in 620, so its only cube factor is 1 and ∛620 is already in simplest form. Since 8³ = 512 < 620 < 729 = 9³, ∛620 lies between 8 and 9: ∛620 ≈ 8.527.
Is ∛620 a rational number?
No: 620 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 ∛620 is irrational; its decimal never ends and never repeats: ∛620 ≈ 8.527.
See Also
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- Cube Root of 488 (∛488): Exact Value and Decimal
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- Cube Root of 500 (∛500): Exact Value and Decimal
- Cube Root of 512 (∛512): Exact Value and Decimal
- Cube Root of 512/729 (∛(512/729)): Exact Value and Decimal
- Cube Root of 527 (∛527): Exact Value and Decimal
- Cube Root of 529 (∛529): Exact Value and Decimal
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- Cube Root of 686 (∛686): Exact Value and Decimal
- Cube Root of 700 (∛700): Exact Value and Decimal
- Cube Root of 729 (∛729): Exact Value and Decimal
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