Simplify: sqrt6(sqrt2/2+sqrt3)-sqrt8

I need all of the steps.
I need this ASAP because this is due tomorrow.
Thanks

(sqrt 2)/2 = 1/sqrt2

sqrt(2*3)(1/sqrt2 + sqrt3) - 2 sqrt2

1 sqrt3 + 3 sqrt2 -2 sqrt2

sqrt 3 + sqrt 2