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\sqrt{248+\sqrt{52+12}}
Calculate the square root of 144 and get 12.
\sqrt{248+\sqrt{64}}
Add 52 and 12 to get 64.
\sqrt{248+8}
Calculate the square root of 64 and get 8.
\sqrt{256}
Add 248 and 8 to get 256.
16
Calculate the square root of 256 and get 16.