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\sqrt{256}-\sqrt{8^{2}}
Calculate 16 to the power of 2 and get 256.
16-\sqrt{8^{2}}
Calculate the square root of 256 and get 16.
16-\sqrt{64}
Calculate 8 to the power of 2 and get 64.
16-8
Calculate the square root of 64 and get 8.
8
Subtract 8 from 16 to get 8.