Answer
$-3\sqrt[3] 4$
Work Step by Step
$\sqrt[3] -108=\sqrt[3] (-27\times4)=\sqrt[3] -27\times\sqrt[3] 4=-3\sqrt[3] 4$
We know that $\sqrt[3] -27=-3$, because $(-3)^{3}=-27$.
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.