Answer
$\sqrt[4]{(x-1)(x^2+x+1)}$
Work Step by Step
Using $\sqrt[a]{x}\sqrt[a]{y}=\sqrt[a]{xy}$, the given expression, $
\sqrt[4]{x-1}\sqrt[4]{x^2+x+1}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt[4]{(x-1)(x^2+x+1)}
.\end{array}
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