## Algebra 1

$2\sqrt7-4$
$\frac{6}{\sqrt7+2}\longrightarrow$ multiply numerator and denominator by conjugate of denominator =$\frac{6}{\sqrt7+2}\times\frac{\sqrt7-2}{\sqrt7-2}\longrightarrow$ multiply =$\frac{6\sqrt7-12}{7-4}\longrightarrow$ simplify =$\frac{6\sqrt7-12}{3}\longrightarrow$ divide by 3 =$2\sqrt7-4$