Solve the following

Question

Root over 2+ root over 2+ root over 2+ root over 4

Answer 1

I suppose you have in mid square root 

√4=±2, first we take +2

√(2+√(2+√(2+√4)))=√(2+√(2+√(2+2)))=√(2+√(2+√4))=

=√(2+√4)=√(2+2)=√4=2

Now with -2

√(2+√(2+√(2-2)))=√(2+√2).