Consider the given expression,
Let,
x=√2+√2+√2+√2.........
x=√2+x
x2=2+x
x2−x−2=0
x2−2x+x−2=0
x(x−2)+1(x−2)=0
(x−2)(x+1)=0
x=2orx=−1
Hence, this is the answer.
The value of ((22)2)2 is: