To find the cubic root of 135, we first break down 135 into its prime factors:
135 = 3 × 45 = 3 × 3 × 15 = 3 × 3 × 3 × 5 = \(3^3 \times 5\).
Now, we can express the cubic root:
\[ \sqrt[3]{135} = \sqrt[3]{3^3 \times 5} = \sqrt[3]{3^3} \times \sqrt[3]{5} = 3\sqrt[3]{5}. \]
From the given options, the response that corresponds to this is:
3^3√5 (which may be interpreted as 3 times the cubic root of 5).
Thus, \(3\sqrt[3]{5}\) is the correct answer.
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