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\sqrt{9\times 5^{2}+2^{6}}
Calculate 3 to the power of 2 and get 9.
\sqrt{9\times 25+2^{6}}
Calculate 5 to the power of 2 and get 25.
\sqrt{225+2^{6}}
Multiply 9 and 25 to get 225.
\sqrt{225+64}
Calculate 2 to the power of 6 and get 64.
\sqrt{289}
Add 225 and 64 to get 289.
17
Calculate the square root of 289 and get 17.