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\sqrt{4\times 36\times 3}
Multiply \sqrt{3} and \sqrt{3} to get 3.
\sqrt{144\times 3}
Multiply 4 and 36 to get 144.
\sqrt{432}
Multiply 144 and 3 to get 432.
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}.