ONE question: are you serious?

Well, I'd attack that (if attackable!) this way:

you have terms that contain :

x1x2; let a = that term

x1x3; let b...

x1x4; let c...

x2x3; let d...

x2x4; let e...

x3x4; let f...

So the equations can be rewritten:

sqrt(c) - sqrt(b) = sqrt(f) [1]

sqrt(c) - sqrt(a) = sqrt(e) [2]

sqrt(b) - sqrt(a) = sqrt(d) [3]

Put those 3 equations through the elimination process...and see what happens...