Cube Root of 42
Cube Root Calculator
What is the cube root of 42?
Answer
∛42 ≈
3.476
Real cube root: the only number whose cube is 42.
≈ — rounded to 4 decimal places. 42 is not the cube of a rational number, so ∛42 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 42 = 2 × 3 × 7
- Take out of the root
- No prime appears three times, so ∛42 is already in simplest form.
- Between cubes
- 3³ = 27 < 42 < 64 = 4³, so 3 < ∛42 < 4 and ∛42 ≈ 3.476
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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 42?
∛42 ≈ 3.476
Can ∛42 be simplified?
No: no prime appears three times in 42, so its only cube factor is 1 and ∛42 is already in simplest form. Since 3³ = 27 < 42 < 64 = 4³, ∛42 lies between 3 and 4: ∛42 ≈ 3.476.
Is ∛42 a rational number?
No: 42 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 ∛42 is irrational; its decimal never ends and never repeats: ∛42 ≈ 3.476.
See Also
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- Cube Root of 35 (∛35): Exact Value and Decimal
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- Cube Root of 39 (∛39): Exact Value and Decimal
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