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\sqrt{256+4\times 64}
Calculate 16 to the power of 2 and get 256.
\sqrt{256+256}
Multiply 4 and 64 to get 256.
\sqrt{512}
Add 256 and 256 to get 512.
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}.