Question

Find the cubic root of 135.(1 point)
Responses

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

35–√
3 start root 5 end root

527−−√3
5 root index 3 start root 27 end root

35–√3

Answer 1

To find the cubic root of 135, we need to compute \( \sqrt[3]{135} \).

First, we can express 135 in terms of its prime factors:
- \( 135 = 27 \times 5 = 3^3 \times 5 \).

Now, we can rewrite the cubic root:
\[
\sqrt[3]{135} = \sqrt[3]{27 \times 5} = \sqrt[3]{27} \times \sqrt[3]{5} = 3 \times \sqrt[3]{5}.
\]

This can be written as:
\[
3 \sqrt[3]{5}.
\]

Therefore, the cubic root of 135 is \( 3 \sqrt[3]{5} \).

Among the given options, the correct one that matches this expression is:
**35–√3 start root 5 end root** (assuming they used a representation error).

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