## Algebra 1

$\frac{2\sqrt2}{3c}$
$\frac{4}{\sqrt{18c^2}}\longrightarrow$ factor out perfect squares =$\frac{4}{\sqrt{9c^2\times2}}\longrightarrow$ multiplication property of square roots =$\frac{4}{\sqrt{9c^2}\times\sqrt2}\longrightarrow$ simplify =$\frac{4}{3c\sqrt2}\longrightarrow$ multiply the numerator and denominator by $\sqrt2$ =$\frac{4}{3c\sqrt2}\times\frac{\sqrt2}{\sqrt2}\longrightarrow$ multiply =$\frac{4\sqrt2}{6c}\longrightarrow$ simplify =$\frac{2\sqrt2}{3c}$