The real flaw is that when taking a square root, you have to consider the positive AND negative roots. i.e. women = + evil or -evil. Two negatives make a positive, so either
women = evil or women = good, which could be said for anyone.
Since it is women=(square root(problems))^2
it will be women=problems^2 or women=-problems^2
And both will be women=problems, since two negatives makes one positive
Woman = Money x Money
Woman = (Money)^2
Woman = (sqrt Problems)^2
The square root and power of 2 cancel out making it Woman = Problems.
All you are doing is substituting on the right side