Answer
$3\sqrt[3]{5}-4\sqrt[]{5}$
Work Step by Step
Using the properties of radicals, then,
\begin{array}{l}
3\sqrt[3]{5}+4\sqrt[]{5}-8\sqrt[]{5}
\\=
3\sqrt[3]{5}+(4\sqrt[]{5}-8\sqrt[]{5})
\\=
3\sqrt[3]{5}-4\sqrt[]{5}
.\end{array}
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