Answer
$2x^8\sqrt{2x}$
Work Step by Step
Getting the perfect factors and then extracting its root, the simplified form of the given expression, $
\sqrt{8x^{17}}
,$ is
\begin{array}{l}\require{cancel}
\sqrt{4x^{16}\cdot 2x}
\\\\=
\sqrt{(2x^8)^2\cdot 2x}
\\\\=
2x^8\sqrt{2x}
.\end{array}
Note that variables are assumed to represent positive real numbers.
