Cube Root of 73
Cube Root Calculator
What is the cube root of 73?
Answer
∛73 ≈
4.1793
Real cube root: the only number whose cube is 73.
≈ — rounded to 4 decimal places. 73 is not the cube of a rational number, so ∛73 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 73 is a prime number: no triple of equal factors.
- Between cubes
- 4³ = 64 < 73 < 125 = 5³, so 4 < ∛73 < 5 and ∛73 ≈ 4.1793
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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 73?
∛73 ≈ 4.1793
Can ∛73 be simplified?
No: no prime appears three times in 73, so its only cube factor is 1 and ∛73 is already in simplest form. Since 4³ = 64 < 73 < 125 = 5³, ∛73 lies between 4 and 5: ∛73 ≈ 4.1793.
Is ∛73 a rational number?
No: 73 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 ∛73 is irrational; its decimal never ends and never repeats: ∛73 ≈ 4.1793.
See Also
- Cube Root of 64/343 (∛(64/343)): Exact Value and Decimal
- Cube Root of 64/729 (∛(64/729)): Exact Value and Decimal
- Cube Root of 65 (∛65): Exact Value and Decimal
- Cube Root of 66 (∛66): Exact Value and Decimal
- Cube Root of 67 (∛67): Exact Value and Decimal
- Cube Root of 68 (∛68): Exact Value and Decimal
- Cube Root of 69 (∛69): Exact Value and Decimal
- Cube Root of 70 (∛70): Exact Value and Decimal
- Cube Root of 71 (∛71): Exact Value and Decimal
- Cube Root of 72 (∛72): Exact Value and Decimal
- Cube Root of 74 (∛74): Exact Value and Decimal
- Cube Root of 75 (∛75): Exact Value and Decimal
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- Cube Root of 77 (∛77): Exact Value and Decimal
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