Simplify the following:
-4 sqrt(2) - 2 sqrt(3) (sqrt(3) - 4 sqrt(4))
sqrt(4) = sqrt(2^2) = 2:
-4 sqrt(2) - 2 sqrt(3) (sqrt(3) - 42)
-4×2 = -8:
-4 sqrt(2) - 2 sqrt(3) (-8 + sqrt(3))
-(sqrt(3) - 8) = 8 - sqrt(3):
2 sqrt(3) 8 - sqrt(3) - 4 sqrt(2)
sqrt(3) (8 - sqrt(3)) = 8 sqrt(3) - 3:
2 8 sqrt(3) - 3 - 4 sqrt(2)
Expand 2 (8 sqrt(3) - 3), resulting in 16 sqrt(3) - 6:
Answer: |16sqrt(3) - 6 - 4sqrt(2)