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root(1-root(1-root(2-x2)))
hi ,
for root(2-x2) to be real we must have x^2=<2 emplies that
x ε [-root2 , root 2]
then, for (1-root(2-x2) to be real , root(2-x2)=<1 , emplies (2-x2)=<1
x^2 >= 1 so , x ε [-root2 , -1 ] U [1, root2 ]
we need not further analysis becoz root(1-root(2-x2)) will always less than 1
so, the domain will be x ε [-root2 , -1 ] U [1, root2 ]
-2<=x<=-1 and 1<=x<=2
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