# How do you rationalize the denominator (4sqrt3+2)/(2sqrt3+1)?

$\frac{2 \left(2 \sqrt{3} + 1\right)}{2 \sqrt{3} + 1} . \frac{2 \sqrt{3} - 1}{2 \sqrt{3} - 1}$ =
$= \frac{2 \left(12 - 1\right)}{12 - 1} =$2
$\frac{2 \left(2 \sqrt{3} + 1\right)}{2 \sqrt{3} + 1} = 2$