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65\times 12\sqrt{3}
Factor 432=12^{2}\times 3. Rewrite the square root of the product \sqrt{12^{2}\times 3} as the product of square roots \sqrt{12^{2}}\sqrt{3}. Take the square root of 12^{2}.
780\sqrt{3}
Multiply 65 and 12 to get 780.