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\sqrt{75\times 225}
Multiply 3 and 25 to get 75.
\sqrt{16875}
Multiply 75 and 225 to get 16875.
75\sqrt{3}
Factor 16875=75^{2}\times 3. Rewrite the square root of the product \sqrt{75^{2}\times 3} as the product of square roots \sqrt{75^{2}}\sqrt{3}. Take the square root of 75^{2}.