Calm down

Okay set x = -1
1=sqrt(1)
1=Sqrt(x*x)
1=Sqrt(x^2)
1=x
Sub back in -1
1=-1
There’s your proof.

And also the rule that is applyied isn’t sqrt(ab)=sqrt(a)*sqrt(b). The rule applied is -1*-1=1 and sqrt(a^2)=a.

A variable is not a positive real number still a false proof also you are using variables wrong you can't switch them out and back in at your wims

The rule that always you to break a number into 2 numbers that multiple into it also requires positive real numbers

False. When using mathematics, the substitution of a variable for a negative number allows it to be used as a positive number. Engineering Calculus I and II, Engineering Physics, and Advanced Math professor have taught me that four times over again.

You are an idiot

Great intellectual addition to the conversation. I will say that I do realize that the substitution of a variable does not make that number a real number so there may be an issue there. However, your great intellect out weighs my own and so I will drop the sword and shield of this fight and bow down to the great Bethorien for it is their intelligence that all others, including myself, envy for the entirety of ones life