SOLUTION: if x = ((3-2root2)/(3+2root2)) evaluate x + (1/x) in the exact form

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Question 155013: if x = ((3-2root2)/(3+2root2))
evaluate x + (1/x) in the exact form

Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
x+=+%28%283-2sqrt%282%29%29%2F%283%2B2sqrt%282%29%29%29
then

=
=

=
+++%283%5E2-12sqrt%282%29%2B8%2B3%5E2%2B12sqrt%282%29%2B8%29+++%2F%28%283%29%5E2-8%29
=34