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\sqrt{16}+\sqrt{4^{3}}
Calculate 4 to the power of 2 and get 16.
4+\sqrt{4^{3}}
Calculate the square root of 16 and get 4.
4+\sqrt{64}
Calculate 4 to the power of 3 and get 64.
4+8
Calculate the square root of 64 and get 8.
12
Add 4 and 8 to get 12.