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\sqrt{125-\sqrt{9+7}}
Calculate the square root of 49 and get 7.
\sqrt{125-\sqrt{16}}
Add 9 and 7 to get 16.
\sqrt{125-4}
Calculate the square root of 16 and get 4.
\sqrt{121}
Subtract 4 from 125 to get 121.
11
Calculate the square root of 121 and get 11.