Evaluate
2940\sqrt{3}\approx 5092.229374252
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\sqrt{3}\sqrt{1225}\sqrt{2352}\sqrt{3}
Factor 3675=3\times 1225. Rewrite the square root of the product \sqrt{3\times 1225} as the product of square roots \sqrt{3}\sqrt{1225}.
3\sqrt{2352}\sqrt{1225}
Multiply \sqrt{3} and \sqrt{3} to get 3.
3\times 28\sqrt{3}\sqrt{1225}
Factor 2352=28^{2}\times 3. Rewrite the square root of the product \sqrt{28^{2}\times 3} as the product of square roots \sqrt{28^{2}}\sqrt{3}. Take the square root of 28^{2}.
84\sqrt{3}\sqrt{1225}
Multiply 3 and 28 to get 84.
84\sqrt{3}\times 35
Calculate the square root of 1225 and get 35.
2940\sqrt{3}
Multiply 84 and 35 to get 2940.
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