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[QUOTE="gfleming, post: 1327903, member: 77981"] [h2]Homework Statement [/h2] The following is a question from a set-text that I have chosen to explore. What digit is imediately to the right of the decimal point in (sqrt(3) + sqrt(2))^2002 [h2]Homework Equations[/h2] [h2]The Attempt at a Solution[/h2] I have not gone very far with this, and may need to find a different problem. What I have done is explore (sqrt(3) + sqrt(2))^n, for n = 0, 1, 2, 3, 4... and found that for even values of n (which include 2002) that the expression evaluates to the sum of a constant and a constant multiple of sqrt(6). Both constants are too large to calculate. I also know that [(sqrt(3) + sqrt(2))^2002][(sqrt(3) - sqrt(2))^2002]=1, but I am not sure if that can be used to find a solution. I am presently exploring [(sqrt(3) + sqrt(2))^2002]-[(sqrt(3) - sqrt(2))^2002] and find that a whole lot of terms are being cancelled. Any suggestions would be appreciated, Thanks. [/QUOTE]
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