SOLUTION: (1)For a,x>0 prove that at most one term of the G.P (a-x)½,(x)½,(a+x)½ can be rational.

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Question 895102: (1)For a,x>0 prove that at most one term of the G.P (a-x)½,(x)½,(a+x)½ can be rational.
Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
Not sure if that's always true. If a = x = 1, for example, you have 0, 1, and sqrt(2), and two of those numbers are rational.
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