# How do you simplify 5 sqrt80 - 12 sqrt5?

$5 \sqrt{80} - 12 \sqrt{5} = 8 \sqrt{5.}$
Given Expression $= 5 \sqrt{80} - 12 \sqrt{5} = 5 \sqrt{16 \cdot 5} - 12 \sqrt{5} = 5 \cdot 4 \cdot \sqrt{5} - 12 \sqrt{5} = 20 \sqrt{5} - 12 \sqrt{5} = 8 \sqrt{5.}$