# How do you simplify \sqrt { \frac { 800x ^ { 5} } { 2x } }?

$| 20 {x}^{2} |$
$\sqrt{\frac{800 {x}^{5}}{2 x}} = \sqrt{\frac{4 \cdot 100 \cdot {x}^{4} \cdot 2 \cdot x}{2 \cdot x}}$
$= \sqrt{\frac{{\left(2 \cdot 10 \cdot {x}^{2}\right)}^{2} \cdot \cancel{2} \cdot \cancel{x}}{\cancel{2} \cdot \cancel{x}}}$
$= | 2 \cdot 10 \cdot {x}^{2} |$
$= | 20 {x}^{2} |$