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15\times 3\sqrt{62}
Factor 558=3^{2}\times 62. Rewrite the square root of the product \sqrt{3^{2}\times 62} as the product of square roots \sqrt{3^{2}}\sqrt{62}. Take the square root of 3^{2}.
45\sqrt{62}
Multiply 15 and 3 to get 45.