Answer
$\dfrac{5\sqrt[3]{7x}}{2}$
Work Step by Step
Using the properties of radicals, the expression $
\sqrt[3]{\dfrac{7x}{8}}+2\sqrt[3]{7x}
$ simplifies to
\begin{array}{l}
\dfrac{\sqrt[3]{7x}}{2}+2\sqrt[3]{7x}
\\\\=
\dfrac{1(\sqrt[3]{7x})+2(2\sqrt[3]{7x})}{2}
\\\\=
\dfrac{\sqrt[3]{7x}+4\sqrt[3]{7x}}{2}
\\\\=
\dfrac{5\sqrt[3]{7x}}{2}
.\end{array}
