Solve for x:
12/x = (sqrt(3)-1)/(2 sqrt(2))
(sqrt(3)-1)/(2 sqrt(2)) = (sqrt(3)-1)/(2 sqrt(2)):
12/x = (sqrt(3)-1)/(2 sqrt(2))
Take the reciprocal of both sides:
x/12 = (2 sqrt(2))/(sqrt(3)-1)
Multiply both sides by 12:
Answer: | x = (24 sqrt(2))/(sqrt(3)-1) =46.3644...