SOLUTION: if x=2+root3/2-root3 then find the value of x+1/x

Question 1113566: if x=2+root3/2-root3 then find the value of x+1/x
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

  x =  = rationalize the fraction =  .   =   =   =  .


Then  x +  =  +  = rationalize the fraction =  +  .  = 


=   +  =  +  =  +  = 7 + 7 = 14.


Answer.  14.

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On rationalizing fractions, see the lessons
    - HOW TO rationalize a fraction by making its denominator free of square roots
    - HOW TO rationalize a fraction by making its denominator free of cubic roots
    - Amazing calculations with fractions that contain quadratic irrationalities in denominators
in this site.

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