Question

Find the cubic root of 135.(1 point) Responses 527−−√3 5 root index 3 start root 27 end root 35–√3 3 root index 3 start root 5 end root 35–√ 3 start root 5 end root 5–√3

Answer 1

To find the cubic root of \( 135 \), we will simplify it.

Firstly, we can express \( 135 \) as the product of its prime factors:

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

Now, we can find the cubic root:

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

This can be separated using the property of roots:

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

Thus, the cubic root of \( 135 \) is:

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

This corresponds to the option \( 3 \root 3 \start root 5 end root \).