Question

Question 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

Answer 1

To find the cubic root of 135, we can represent it mathematically as \( \sqrt[3]{135} \).

First, we can simplify it if possible. We can factor 135 into its prime factors:

\[
135 = 27 \times 5 = 3^3 \times 5
\]

Now, we take the cubic root:

\[
\sqrt[3]{135} = \sqrt[3]{27 \times 5} = \sqrt[3]{27} \times \sqrt[3]{5} = 3\sqrt[3]{5}
\]

So, the cubic root of 135 is:

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

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