Question

Find the cubic root of 189.(1 point)
Responses

921−−√3
9 root index 3 start root 21 end root

37–√3
3 root index 3 start root 7 end root

277–√3
27 root index 3 start root 7 end root

37–√

Answer 1

To find the cubic root of 189, we can simplify it:

1. First, let's factor 189:
- \(189 = 3^3 \times 7\)

2. The cubic root of a product can be distributed as follows:
\(\sqrt[3]{189} = \sqrt[3]{3^3 \times 7} = \sqrt[3]{3^3} \times \sqrt[3]{7} = 3 \cdot \sqrt[3]{7}\)

Thus, the cubic root of 189 is:

\[
3 \sqrt[3]{7}
\]

Looking at your options, the correct response is:

**\(3 \sqrt[3]{7}\)**.