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1\times 5\sqrt{165}
Factor 4125=5^{2}\times 165. Rewrite the square root of the product \sqrt{5^{2}\times 165} as the product of square roots \sqrt{5^{2}}\sqrt{165}. Take the square root of 5^{2}.
5\sqrt{165}
Multiply 1 and 5 to get 5.