5+ radical 7 over 5- radical 7 is equivalent to what?

1 answer

1. Let's take a look at how to solve these kinds of problems.
   
   I'm assuming the problem is this:
   
   5 + √7
   ------
   5 - √7
   
   Multiply both top and bottom by the equivalent of 1 to get rid of the radical in the denominator:
   
   (5 + √7)(5 + √7)
   ----------------
   (5 - √7)(5 + √7)
   
   Let's multiply using FOIL:
   
   25 + 5√7 + 5√7 + 7
   ------------------
   25 + 5√7 - 5√7 - 7
   
   Combine like terms:
   
   32 + 10√7
   ---------
   18
   
   Factor out 2 from both the top and bottom:
   
   2(16 + 5√7)
   -----------
   2(9)
   
   Cancel out the 2 from top and bottom.
   
   We end up with this:
   
   16 + 5√7
   --------
   9
   
   And there you have it!
   
   I hope this helped.

   Answer ID
   534358

   Created
   April 20, 2011 11:53pm UTC

   Rating
   0

   URL
   https://questions.llc/answers/534358