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Simplify \(\sqrt{91 + 2 \sqrt{2014}}\)

 

Any ideas how to do this?

 Jun 30, 2020
 #1
avatar+23246 
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I'd use a calculator; it doesn't seem to have a "nice" answer.

 Jun 30, 2020
 #2
avatar+1262 
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we simplify sqrt2014 to get sqrt(2*19*53) and we make it sqrt(8*19*53)=sqrt8056 and finally it is sqrt(91+sqrt8056) which is about 13.44452389… but I don't know how to simplify it

 Jun 30, 2020

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