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12\times 2\sqrt{314}
Factor 1256=2^{2}\times 314. Rewrite the square root of the product \sqrt{2^{2}\times 314} as the product of square roots \sqrt{2^{2}}\sqrt{314}. Take the square root of 2^{2}.
24\sqrt{314}
Multiply 12 and 2 to get 24.