# How do you simplify 5sqrt80-12sqrt5?

$8 \sqrt{5}$
$\sqrt{80} = \sqrt{4 \cdot 4 \cdot 5}$ Notice that there are two 4s in there, so, since it is a square root we can write that same thing as $4 \sqrt{5}$ so the equation now becomes:
$5 \cdot \left(4 \sqrt{5}\right) - 12 \sqrt{5}$
$5 \cdot 4 = 20$ so
$20 \sqrt{5} - 12 \sqrt{5}$ From here we can treat $\sqrt{5}$ as $x$ like: $20 x - 12 x = 8 x$ so,
$20 \sqrt{5} - 12 \sqrt{5} = 8 \sqrt{5}$