## Algebra 1

$-\frac{1}{3c}$
=$-\frac{\sqrt{5c}}{\sqrt{45c^3}}\longrightarrow$ factor the radicand in the denominator =$-\frac{\sqrt{5c}}{\sqrt{9c^2\times5c}}\longrightarrow$ multiplication property of square roots =$-\frac{\sqrt{5c}}{\sqrt{9c^2}\times\sqrt{5c}}\longrightarrow$ simpify; $\sqrt{5c}$ cancels in numerator and denominator =$-\frac{1}{3c}$