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53\times 2\sqrt{139}
Factor 556=2^{2}\times 139. Rewrite the square root of the product \sqrt{2^{2}\times 139} as the product of square roots \sqrt{2^{2}}\sqrt{139}. Take the square root of 2^{2}.
106\sqrt{139}
Multiply 53 and 2 to get 106.