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4^{2}\left(\sqrt{2}\right)^{2}+8^{2}
Expand \left(4\sqrt{2}\right)^{2}.
16\left(\sqrt{2}\right)^{2}+8^{2}
Calculate 4 to the power of 2 and get 16.
16\times 2+8^{2}
The square of \sqrt{2} is 2.
32+8^{2}
Multiply 16 and 2 to get 32.
32+64
Calculate 8 to the power of 2 and get 64.
96
Add 32 and 64 to get 96.