Question

Simplify root 6/root 2 + root 3 + 3root2/root 6 + root 3 - 4root3/root 6 + root 2

Answer 1

$\large \frac{ \sqrt{6} }{ \sqrt{2} + \sqrt{3} } + \frac{3 \sqrt{2} }{ \sqrt{6} + \sqrt{3} } - \frac{4 \sqrt{3} }{ \sqrt{6} + \sqrt{2} } = 3 \sqrt{5}$