Cube Root of 53

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Cube root of

What is the cube root of 53?

Answer

∛53 ≈
3.7563

Real cube root: the only number whose cube is 53.

≈ — rounded to 4 decimal places. 53 is not the cube of a rational number, so ∛53 is irrational: its decimal expansion never ends and never repeats.

Prime factors
53 is a prime number: no triple of equal factors.
Between cubes
3³ = 27 < 53 < 64 = 4³, so 3 < ∛53 < 4 and ∛53 ≈ 3.7563

See Also

FAQ

What is the cube root of 53?

∛53 ≈ 3.7563

Can ∛53 be simplified?

No: no prime appears three times in 53, so its only cube factor is 1 and ∛53 is already in simplest form. Since 3³ = 27 < 53 < 64 = 4³, ∛53 lies between 3 and 4: ∛53 ≈ 3.7563.

Is ∛53 a rational number?

No: 53 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 ∛53 is irrational; its decimal never ends and never repeats: ∛53 ≈ 3.7563.