# How do you simplify 7sqrt3-2sqrt2+3sqrt2+5sqrt3?

$\implies 12 \sqrt{3} + \sqrt{2}$
$\implies 7 \sqrt{3} - 2 \sqrt{2} + 3 \sqrt{2} + 5 \sqrt{3}$
$\implies \sqrt{3} \left(7 + 5\right) - \sqrt{2} \left(2 - 3\right)$
$\implies 12 \sqrt{3} + \sqrt{2}$