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4\times 2\sqrt{145}
Factor 580=2^{2}\times 145. Rewrite the square root of the product \sqrt{2^{2}\times 145} as the product of square roots \sqrt{2^{2}}\sqrt{145}. Take the square root of 2^{2}.
8\sqrt{145}
Multiply 4 and 2 to get 8.