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\sqrt{9+4^{2}+24}
Calculate -3 to the power of 2 and get 9.
\sqrt{9+16+24}
Calculate 4 to the power of 2 and get 16.
\sqrt{25+24}
Add 9 and 16 to get 25.
\sqrt{49}
Add 25 and 24 to get 49.
7
Calculate the square root of 49 and get 7.