Find the cubic root of 135.(1 point)

Responses

5–√3
root index 3 start root 5 end root

35–√3
3 root index 3 start root 5 end root

35–√
3 start root 5 end root

527−−√3

1 answer

To find the cubic root of 135, we write it as:

\[ \sqrt[3]{135} \]

Now, let's express 135 in its prime factors:

\[ 135 = 3^3 \cdot 5 \]

So we can rewrite the cubic root:

\[ \sqrt[3]{135} = \sqrt[3]{3^3 \cdot 5} = \sqrt[3]{3^3} \cdot \sqrt[3]{5} = 3 \cdot \sqrt[3]{5} \]

Thus, the cubic root of 135 is:

\[ 3\sqrt[3]{5} \]

From the provided options, the closest response that matches is:

\[ 3 \sqrt[3]{5} \]

Therefore, the correct answer is:

3 root index 3 start root 5 end root.