Answer
$3x\sqrt[3]{3}$
Work Step by Step
Factor the radicand so that one factor is a perfect cube to have
$\sqrt[3]{27x^3(3)}
\\=\sqrt[3]{(3x)^3(3)}
\\=3x\sqrt[3]{3}.$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.