## Algebra 1

$-\sqrt3$
$\frac{-3\sqrt2}{\sqrt6}\longrightarrow$ multiply numerator and denominator by $\sqrt6$ =$\frac{-3\sqrt2}{\sqrt6}\times\frac{\sqrt6}{\sqrt6}\longrightarrow$ simplify, multiplication property of square roots =$\frac{-3\sqrt{12}}{\sqrt{36}}\longrightarrow$ factor perfect square out of 12 =$\frac{-3\sqrt{4\times3}}{\sqrt{36}}\longrightarrow$ multiplication property of square roots =$\frac{-3\times\sqrt{4}\times\sqrt3}{\sqrt{36}}\longrightarrow$ simplify =$\frac{-3\times2\times\sqrt3}{6}\longrightarrow$ simplify =$\frac{-6\sqrt3}{6}\longrightarrow$ simplify =$-\sqrt3$