Cube Root of 74
Cube Root Calculator
What is the cube root of 74?
Answer
∛74 ≈
4.1983
Real cube root: the only number whose cube is 74.
≈ — rounded to 4 decimal places. 74 is not the cube of a rational number, so ∛74 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 74 = 2 × 37
- Take out of the root
- No prime appears three times, so ∛74 is already in simplest form.
- Between cubes
- 4³ = 64 < 74 < 125 = 5³, so 4 < ∛74 < 5 and ∛74 ≈ 4.1983
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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 74?
∛74 ≈ 4.1983
Can ∛74 be simplified?
No: no prime appears three times in 74, so its only cube factor is 1 and ∛74 is already in simplest form. Since 4³ = 64 < 74 < 125 = 5³, ∛74 lies between 4 and 5: ∛74 ≈ 4.1983.
Is ∛74 a rational number?
No: 74 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 ∛74 is irrational; its decimal never ends and never repeats: ∛74 ≈ 4.1983.
See Also
- Cube Root of 64/729 (∛(64/729)): Exact Value and Decimal
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- Cube Root of 66 (∛66): Exact Value and Decimal
- Cube Root of 67 (∛67): Exact Value and Decimal
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- Cube Root of 69 (∛69): Exact Value and Decimal
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- Cube Root of 75 (∛75): Exact Value and Decimal
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