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\sqrt{\sqrt{1156}-3^{2}}
Calculate 34 to the power of 2 and get 1156.
\sqrt{34-3^{2}}
Calculate the square root of 1156 and get 34.
\sqrt{34-9}
Calculate 3 to the power of 2 and get 9.
\sqrt{25}
Subtract 9 from 34 to get 25.
5
Calculate the square root of 25 and get 5.