SOLUTION: Rationalizing the denominator of a radical expression using conjugates √11-√3/√11+√3 I tried working the problem out but I am unsure about the foiling

Algebra ->  Radicals -> SOLUTION: Rationalizing the denominator of a radical expression using conjugates √11-√3/√11+√3 I tried working the problem out but I am unsure about the foiling      Log On


   

Question 744018: Rationalizing the denominator of a radical expression using conjugates
√11-√3/√11+√3
I tried working the problem out but I am unsure about the foiling portion. This is what I have so far.
=√11-√3 * √11-√3/√11+√3 * √11-√3
=(√11)^2-√33-√33+(√3)^2/(√11)^2-√33+√33-(√3)^2
=11-2√33+3/11-3
=14-2√33/8
This is where I get stuck. I checked my answer with a calculator and the 2 is suppose to disappear but I don't understand why.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You have done everything correctly up to this point:



Now all you have to do is reduce the fraction:





John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism