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1\sqrt{584}
Subtract 3 from 587 to get 584.
1\times 2\sqrt{146}
Factor 584=2^{2}\times 146. Rewrite the square root of the product \sqrt{2^{2}\times 146} as the product of square roots \sqrt{2^{2}}\sqrt{146}. Take the square root of 2^{2}.
2\sqrt{146}
Multiply 1 and 2 to get 2.