SOLUTION: x=sqrt(3+2sqrt(2)) + sqrt(3-2sqrt(2)) A) fund the exact value of x^2 B) hence, determine the simplified form of x

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Question 1118304: x=sqrt(3+2sqrt(2)) + sqrt(3-2sqrt(2))
A) fund the exact value of x^2
B) hence, determine the simplified form of x

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
x=sqrt(3+2sqrt(2)) + sqrt(3-2sqrt(2))
A) fund the exact value of x^2
B) hence, determine the simplified form of x


To make things easier, let

 and 

Then 











Now since 

, we'll need AČ, BČ, and AB

























Substituting in

,

,

,

,





But x cannot be negative.







Edwin

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