Verified answer

group all the square root 3's together.... and all the square root 2's together... like this....

2√3 - 4√2 + 6√3 + 8√2 .... becomes....

= (2√3 + 6√3) + (- 4√2 + 8√2)

= (2√3 + 6√3) + (8√2 - 4√2)

= (2+6)√3 + (8-4)√2

= (8√3) + (4√2)