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\sqrt{64-4\times 2\times 6}
Calculate 8 to the power of 2 and get 64.
\sqrt{64-8\times 6}
Multiply 4 and 2 to get 8.
\sqrt{64-48}
Multiply 8 and 6 to get 48.
\sqrt{16}
Subtract 48 from 64 to get 16.
4
Calculate the square root of 16 and get 4.