# How do you simplify 8sqrt200?

$8 \sqrt{200} = 8 \sqrt{100 \cdot 2} = 8 \sqrt{100} \sqrt{2}$
$= 8 \cdot 10 \sqrt{2} = 80 \sqrt{2}$
...using $\sqrt{a b} = \sqrt{a} \sqrt{b}$