Question 32837
You would solve that in the same type of way, yes.  Use FOIL- multiply First terms, Outside terms, Inside Terms, and Last terms.  

(sqrt(3) - sqrt(5))*(sqrt(3) - sqrt(5))

Applying FOIL, we get the following:

(sqrt(3)*(sqrt(3)) + (sqrt(3)*(sqrt(5)) + (sqrt(5)*(sqrt(3)) + (sqrt(5)*(sqrt(5)) 

Now simplify:

(sqrt(9)) + (sqrt(15)) + (sqrt(15)) + (sqrt(25))

3 + 2(sqrt(15)) + 5

3 + 5 + 2(sqrt(15))

8 + 2(sqrt(15))