Cube Root of 103
Cube Root Calculator
What is the cube root of 103?
Answer
∛103 ≈
4.6875
Real cube root: the only number whose cube is 103.
≈ — rounded to 4 decimal places. 103 is not the cube of a rational number, so ∛103 is irrational: its decimal expansion never ends and never repeats.
- Prime factors
- 103 is a prime number: no triple of equal factors.
- Between cubes
- 4³ = 64 < 103 < 125 = 5³, so 4 < ∛103 < 5 and ∛103 ≈ 4.6875
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FAQ
What is the cube root of 103?
∛103 ≈ 4.6875
Can ∛103 be simplified?
No: no prime appears three times in 103, so its only cube factor is 1 and ∛103 is already in simplest form. Since 4³ = 64 < 103 < 125 = 5³, ∛103 lies between 4 and 5: ∛103 ≈ 4.6875.
Is ∛103 a rational number?
No: 103 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 ∛103 is irrational; its decimal never ends and never repeats: ∛103 ≈ 4.6875.
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