Question

simplify 3root3-2root5/3root3+2root5+root12/root5-3

Answer 1

take lcm and solve
$\frac{3 \sqrt{3} - 2 \sqrt{5} }{3 \sqrt{3} + 2 \sqrt{5} } + \frac{ \sqrt{12} }{ \sqrt{5} - 3}$

Answer 2

(2root5-3root3) (2root5+3root3)