## Algebra 1

$\sqrt6$
$3\sqrt6-\sqrt{24}\longrightarrow$ factor out the perfect square from 24 $3\sqrt6-\sqrt{4\times6}\longrightarrow$ multiplication property of square roots =$3\sqrt6-(\sqrt4\times\sqrt6)\longrightarrow$ simplify =$3\sqrt6-2\sqrt6\longrightarrow$ use distributive property =$\sqrt6(3-2)\longrightarrow$ simplify =$\sqrt6$