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\sqrt{64-6^{2}+8\times 9}
Calculate 8 to the power of 2 and get 64.
\sqrt{64-36+8\times 9}
Calculate 6 to the power of 2 and get 36.
\sqrt{28+8\times 9}
Subtract 36 from 64 to get 28.
\sqrt{28+72}
Multiply 8 and 9 to get 72.
\sqrt{100}
Add 28 and 72 to get 100.
10
Calculate the square root of 100 and get 10.