Had we would have taken the original square root instead of Principal Square root, our extraneous solution might/would have worked"
If we would have taken the original square root instead of Principal Square root, our extraneous solution might/would have worked.
Is there any difference between those two sentences?
If any, when should we use one over the other?
[UPDATE] I'm not a native English speaker and I used google translator and both of the sentences showed the same result.
I tried to use Ginger to check if there is any grammatical mistake, there wasn't any.