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3\times 59\sqrt{59}
Factor 205379=59^{2}\times 59. Rewrite the square root of the product \sqrt{59^{2}\times 59} as the product of square roots \sqrt{59^{2}}\sqrt{59}. Take the square root of 59^{2}.
177\sqrt{59}
Multiply 3 and 59 to get 177.