## Algebra 1

$9\frac{1}{2}\sqrt5$
$-\frac{1}{2}\sqrt5+2\sqrt{125}\longrightarrow$ factor the perfect square out of 125 =$-\frac{1}{2}\sqrt5+2\sqrt{25\times5}\longrightarrow$ multiplication property of square roots =$-\frac{1}{2}\sqrt5+2(\sqrt{25})(\sqrt5)\longrightarrow$ simplify =$-\frac{1}{2}\sqrt5+2(5)(\sqrt5)\longrightarrow$ multiply =$-\frac{1}{2}\sqrt5+10\sqrt5\longrightarrow$ use distributive property =$\sqrt5(-\frac{1}{2}+10)\longrightarrow$ simplify =$9\frac{1}{2}\sqrt5$