Identify Roots Quick Check

Question

3 of 53 of 5 Items
Question
Find the cubic root of 189.(1 point)
Responses

27^3√7
27 root index 3 start root 7 end root

3√7
3 start root 7 end root

9^3√21
9 root index 3 start root 21 end root

3^3√7

Answer 1

To find the cubic root of 189, we can express it in terms of its prime factors.

First, we can factor 189:

• \(189 = 3^3 \times 7\)

Now, we can find the cubic root:

• \(\sqrt[3]{189} = \sqrt[3]{3^3 \times 7} = \sqrt[3]{3^3} \times \sqrt[3]{7} = 3 \times \sqrt[3]{7}\)

Thus, the correct answer is: 3√7 (which means \(3 \times \sqrt[3]{7}\)).