I know how to find the conjugate for 2 variable expressions, but I am right now trying to find the conjugate of a 3 variable expression (I'm talking about radical expressions, by the way).
I tried expanding (a+b+c)(a−b−c) and hoped to find something along the format of a2±b2±c2, but I didn't get that expression.
Every time I multiply something along the lines of (a+b+c)(a−b+c),(a+b+c)(−a+b+c),(a+b+c)(a+b−c), I always get a 2ab,2ac or 2bc. I'm still stuck on this.
Also, can the website impliment a LaTeX using the same text as the question/answer? Thanks.
I finally managed to solve it!!
(Thanks to my dad)
The question I was answering was:
(√5+√3−√2)(3√a−√b+2√c)=12
Find the ordered pair (a,b,c).
I am planning on putting the solution on another post, though.
However, the clue is that 5=3+2, which makes this possible.
I wil post the solution on this question If I can't post it on the other post.