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\sqrt{48\times 147\times 3}
Multiply \sqrt{3} and \sqrt{3} to get 3.
\sqrt{7056\times 3}
Multiply 48 and 147 to get 7056.
\sqrt{21168}
Multiply 7056 and 3 to get 21168.
84\sqrt{3}
Factor 21168=84^{2}\times 3. Rewrite the square root of the product \sqrt{84^{2}\times 3} as the product of square roots \sqrt{84^{2}}\sqrt{3}. Take the square root of 84^{2}.