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\sqrt{0}+\sqrt{512}
Multiply 0 and 81 to get 0.
0+\sqrt{512}
Calculate the square root of 0 and get 0.
0+16\sqrt{2}
Factor 512=16^{2}\times 2. Rewrite the square root of the product \sqrt{16^{2}\times 2} as the product of square roots \sqrt{16^{2}}\sqrt{2}. Take the square root of 16^{2}.
16\sqrt{2}
Anything plus zero gives itself.