Cube Root of 900
Cube Root Calculator
What is the cube root of 900?
Answer
∛900 ≈
9.6549
Real cube root: the only number whose cube is 900.
≈ — rounded to 4 decimal places. 900 is not the cube of a rational number, so ∛900 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 900 = 2 × 2 × 3 × 3 × 5 × 5 = 2² × 3² × 5²
- Take out of the root
- No prime appears three times, so ∛900 is already in simplest form.
- Between cubes
- 9³ = 729 < 900 < 1,000 = 10³, so 9 < ∛900 < 10 and ∛900 ≈ 9.6549
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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 900?
∛900 ≈ 9.6549
Can ∛900 be simplified?
No: no prime appears three times in 900, so its only cube factor is 1 and ∛900 is already in simplest form. Since 9³ = 729 < 900 < 1,000 = 10³, ∛900 lies between 9 and 10: ∛900 ≈ 9.6549.
Is ∛900 a rational number?
No: 900 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 ∛900 is irrational; its decimal never ends and never repeats: ∛900 ≈ 9.6549.
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