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\sqrt{2\sqrt{2+\sqrt{2+2}}}
Calculate the square root of 4 and get 2.
\sqrt{2\sqrt{2+\sqrt{4}}}
Add 2 and 2 to get 4.
\sqrt{2\sqrt{2+2}}
Calculate the square root of 4 and get 2.
\sqrt{2\sqrt{4}}
Add 2 and 2 to get 4.
\sqrt{2\times 2}
Calculate the square root of 4 and get 2.
\sqrt{4}
Multiply 2 and 2 to get 4.
2
Calculate the square root of 4 and get 2.