Cube Root of 50
Cube Root Calculator
What is the cube root of 50?
Answer
∛50 ≈
3.684
Real cube root: the only number whose cube is 50.
≈ — rounded to 4 decimal places. 50 is not the cube of a rational number, so ∛50 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 50 = 2 × 5 × 5 = 2 × 5²
- Take out of the root
- No prime appears three times, so ∛50 is already in simplest form.
- Between cubes
- 3³ = 27 < 50 < 64 = 4³, so 3 < ∛50 < 4 and ∛50 ≈ 3.684
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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 50?
∛50 ≈ 3.684
Can ∛50 be simplified?
No: no prime appears three times in 50, so its only cube factor is 1 and ∛50 is already in simplest form. Since 3³ = 27 < 50 < 64 = 4³, ∛50 lies between 3 and 4: ∛50 ≈ 3.684.
Is ∛50 a rational number?
No: 50 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 ∛50 is irrational; its decimal never ends and never repeats: ∛50 ≈ 3.684.
See Also
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- Cube Root of 43 (∛43): Exact Value and Decimal
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- Cube Root of 45 (∛45): Exact Value and Decimal
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