simplify the cube root of 189.

1 answer

To simplify the cube root of 189, we need to find the perfect cube that is a factor of 189. The prime factorization of 189 is 3^3 * 7.

Therefore, we can rewrite 189 as (3^3) * 7^(1).

Taking the cube root, we get the simplified form:

³√189 = ³√(3^3 * 7^(1)) = 3 * ³√7.

So, the simplified cube root of 189 is 3 * ³√7.