SOLUTION: RATIONALIZE THE NUMERATOR. {{{(sqrt(5)-2)/(sqrt(5)+2)}}} thanks

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: RATIONALIZE THE NUMERATOR. {{{(sqrt(5)-2)/(sqrt(5)+2)}}} thanks      Log On


   



Question 434455: RATIONALIZE THE NUMERATOR.
%28sqrt%285%29-2%29%2F%28sqrt%285%29%2B2%29

thanks

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(sqrt(5)-2)/(sqrt(5)+2) You must rationalize the DENOMINATOR always! Why?
(sqrt(5)-2)/(sqrt(5)+2) * (sqrt(5)-2)/(sqrt(5)-2)
=9-4sqrt(5)/1
=9-4sqrt(5)
.
Ed