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\sqrt{\sqrt{\sqrt{256}}+\sqrt{4}}
Calculate 4 to the power of 4 and get 256.
\sqrt{\sqrt{16}+\sqrt{4}}
Calculate the square root of 256 and get 16.
\sqrt{4+\sqrt{4}}
Calculate the square root of 16 and get 4.
\sqrt{4+2}
Calculate the square root of 4 and get 2.
\sqrt{6}
Add 4 and 2 to get 6.