SOLUTION: I need help simplifying this expression: {{{sqrt(24+8sqrt(5))}}} I removed the common factor out of the square root to obtain {{{2sqrt(6+2sqrt(5))}}}, but the answer key says it

Question 1030250: I need help simplifying this expression:

I removed the common factor out of the square root to obtain , but the answer key says it is .
How is it possible? Am I missing out on a rule here?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

using this identity
we get

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