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2\sqrt{31}+2\times 5
Factor 124=2^{2}\times 31. Rewrite the square root of the product \sqrt{2^{2}\times 31} as the product of square roots \sqrt{2^{2}}\sqrt{31}. Take the square root of 2^{2}.
2\sqrt{31}+10
Multiply 2 and 5 to get 10.