## Algebra 1

$3\sqrt{15}$
$\frac{\sqrt{180}}{\sqrt3}\longrightarrow$ multiply numerator and denominaor by $\sqrt3$ =$\frac{\sqrt{180}}{\sqrt3}\times\frac{\sqrt3}{\sqrt3}\longrightarrow$ simplify, multiplication property of square roots =$\frac{\sqrt{540}}{3}\longrightarrow$ factor perfect square out of 540 =$\frac{\sqrt{36\times15}}{3}\longrightarrow$ multiplication property of square roots =$\frac{\sqrt{36}\times\sqrt{15}}{3}\longrightarrow$ simplify =$\frac{9\sqrt{15}}{3}\longrightarrow$ simplify =$3\sqrt{15}$