## Algebra 1

$\frac{x\sqrt y}{y^2}$
$\frac{\sqrt{x^2}}{\sqrt{y^3}}\longrightarrow$ factor perfect square out of $y^3$ $\frac{\sqrt{x^2}}{\sqrt{y^2\times y}}\longrightarrow$ multiplication property of square roots $\frac{\sqrt{x^2}}{\sqrt{y^2}\times \sqrt y}\longrightarrow$ simplify $\frac{x}{y\sqrt{y}}\longrightarrow$ multiply numerator and denominator by $\sqrt y$ $\frac{x}{y\sqrt{y}}\times \frac {\sqrt y}{\sqrt y}\longrightarrow$ simplify, multiplication property of square roots $\frac{x \sqrt y}{y\sqrt{y^2}}\longrightarrow$ simplify $\frac{x\sqrt y}{y\times y}\longrightarrow$ simplify $\frac{x\sqrt y}{y^2}$