Cube Root of 700
Cube Root Calculator
What is the cube root of 700?
Answer
∛700 ≈
8.879
Real cube root: the only number whose cube is 700.
≈ — rounded to 4 decimal places. 700 is not the cube of a rational number, so ∛700 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 700 = 2 × 2 × 5 × 5 × 7 = 2² × 5² × 7
- Take out of the root
- No prime appears three times, so ∛700 is already in simplest form.
- Between cubes
- 8³ = 512 < 700 < 729 = 9³, so 8 < ∛700 < 9 and ∛700 ≈ 8.879
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FAQ
What is the cube root of 700?
∛700 ≈ 8.879
Can ∛700 be simplified?
No: no prime appears three times in 700, so its only cube factor is 1 and ∛700 is already in simplest form. Since 8³ = 512 < 700 < 729 = 9³, ∛700 lies between 8 and 9: ∛700 ≈ 8.879.
Is ∛700 a rational number?
No: 700 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 ∛700 is irrational; its decimal never ends and never repeats: ∛700 ≈ 8.879.
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