Find the cubic root of 189. (1 point)
O 27 * root(7, 3)
3 * root(7, 3)
9 * root(21, 3)
O 3sqrt(7)
The cubic root of 189 is 3 * root(7, 3).
To find the cubic root of 189, you can use a calculator or manually compute it by using the prime factorization method.
First, let's find the prime factorization of 189:
189 = 3 * 63
= 3 * 3 * 21
= 3 * 3 * 3 * 7
Now, let's rewrite the expression using the prime factorization:
∛189 = ∛(3 * 3 * 3 * 7)
Group the prime factors in sets of three:
∛189 = ∛(3 * 3 * 3) * ∛7
Simplify the cube root of each group:
∛189 = 3 * ∛7
So, the cubic root of 189 is 3∛7.
Therefore, the correct answer is "O 3sqrt(7)."
To find the cubic root of 189, you can use the notation "∛189".
To simplify the expression, you need to find the prime factorization of 189.
The prime factorization of 189 is:
189 = 3 * 3 * 3 * 7
Now, you can group the factors in sets of three, and take out one factor from each set.
∛189 = ∛(3 * 3 * 3 * 7) = 3 * ∛7
So, the cubic root of 189 is "3∛7".
Therefore, the correct option is "3sqrt(7)".