Cube Root of 175

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Cube root of

What is the cube root of 175?

Answer

∛175 ≈
5.5934

Real cube root: the only number whose cube is 175.

≈ — rounded to 4 decimal places. 175 is not the cube of a rational number, so ∛175 is irrational: its decimal expansion never ends and never repeats.

Prime factors
175 = 5 × 5 × 7 = 5² × 7
Take out of the root
No prime appears three times, so ∛175 is already in simplest form.
Between cubes
5³ = 125 < 175 < 216 = 6³, so 5 < ∛175 < 6 and ∛175 ≈ 5.5934

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See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
169≈ 5.5288
172≈ 5.5613
173≈ 5.5721
175≈ 5.5934
178≈ 5.6252
180≈ 5.6462
182≈ 5.6671

FAQ

What is the cube root of 175?

∛175 ≈ 5.5934

Can ∛175 be simplified?

No: no prime appears three times in 175, so its only cube factor is 1 and ∛175 is already in simplest form. Since 5³ = 125 < 175 < 216 = 6³, ∛175 lies between 5 and 6: ∛175 ≈ 5.5934.

Is ∛175 a rational number?

No: 175 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 ∛175 is irrational; its decimal never ends and never repeats: ∛175 ≈ 5.5934.

See Also