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\sqrt{9-5^{2}+\left(8+5\times 2-3\times 5\right)^{2}}
Calculate 3 to the power of 2 and get 9.
\sqrt{9-25+\left(8+5\times 2-3\times 5\right)^{2}}
Calculate 5 to the power of 2 and get 25.
\sqrt{-16+\left(8+5\times 2-3\times 5\right)^{2}}
Subtract 25 from 9 to get -16.
\sqrt{-16+\left(8+10-3\times 5\right)^{2}}
Multiply 5 and 2 to get 10.
\sqrt{-16+\left(18-3\times 5\right)^{2}}
Add 8 and 10 to get 18.
\sqrt{-16+\left(18-15\right)^{2}}
Multiply 3 and 5 to get 15.
\sqrt{-16+3^{2}}
Subtract 15 from 18 to get 3.
\sqrt{-16+9}
Calculate 3 to the power of 2 and get 9.
\sqrt{-7}
Add -16 and 9 to get -7.