Question

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

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

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

37–√
3
7
3 start root 7 end root

277–√3

Answer 1

To find the cubic root of 189, we can denote this as \( \sqrt[3]{189} \).

We can simplify \( \sqrt[3]{189} \) as follows:

1. Factor 189:
\[
189 = 3^3 \times 7
\]

2. Now compute the cubic root:
\[
\sqrt[3]{189} = \sqrt[3]{3^3 \times 7} = \sqrt[3]{3^3} \times \sqrt[3]{7} = 3\sqrt[3]{7}
\]

Therefore, the cubic root of 189 is \( 3\sqrt[3]{7} \).

Looking at the provided options, it corresponds to:

**3 root index 3 start root 7 end root**