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45\times 5\sqrt{233}
Factor 5825=5^{2}\times 233. Rewrite the square root of the product \sqrt{5^{2}\times 233} as the product of square roots \sqrt{5^{2}}\sqrt{233}. Take the square root of 5^{2}.
225\sqrt{233}
Multiply 45 and 5 to get 225.