Question

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

Answer 1

To find the cubic root (also known as the cube root) of 135, we can express it as:

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

The prime factorization of 135 is:

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

This allows us to simplify the cubic root:

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

Thus, the cubic root of 135 can be expressed as:

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

If you are looking for the best representation based on your provided options, the correct choice would be:

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