Algebra
posted by Jeff .
I am racking my brain trying to figure out how to work this: the square root of 55 minus the square root of one over 55 plus the square root of 5 over 11. Do I use conjugates? Ahhhh!

use this abbreviation for square root. SQRT
so write the question as something like
sqrt(a)sqrt(1/55) ....
I cannot follow your problem without ( _) 
sqrt(55)sqrt(1/55)+sqrt(5/11)=?