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Question: How to simplify complicate angle to radians with Maple?

Question:How to simplify complicate angle to radians with Maple?

Leox 5 Maple
simplify
February 14 2011
1

Let us  consider  the angle  --  arctan(1/ 
(5^(1/2)-1)*(10+2*5^(1/2))^(1/2)). By  using Wolfram Alfa  I can 
simplify it   to 2*Pi/5. But I cant  do the  simplifycation with 
Maple! Anyone can help? 
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