Simplify the following:
(2 sqrt(3)+4) (5 sqrt(3)-2)
Factor 2 out of 4+2 sqrt(3) giving 2 (2+sqrt(3)):
2 (2+sqrt(3)) (5 sqrt(3)-2)
(2+sqrt(3)) (5 sqrt(3)-2) = 2 (-2)+2×5 sqrt(3)+sqrt(3) (-2)+sqrt(3)×5 sqrt(3) = -4+10 sqrt(3)-2 sqrt(3)+15 = 11+8 sqrt(3):
Answer: |
| 2 [11+8 sqrt(3)]