Question

alguem me ajude a resolver, por favor

(o expoente ali é 4)

Answer 1

$(\sqrt{1+\sqrt{1+\sqrt{1}}})^4=(\sqrt{1+\sqrt{1+1}})^2.(\sqrt{1+\sqrt{1+1}})^2 \\ \\ (\sqrt{1+\sqrt{2}})^2.(\sqrt{1+\sqrt{2}})^2 =(1+\sqrt2)(1+\sqrt2)=\boxed{3+2\sqrt2\\}$