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\sqrt{3}\sqrt{16}\sqrt{3}
Factor 48=3\times 16. Rewrite the square root of the product \sqrt{3\times 16} as the product of square roots \sqrt{3}\sqrt{16}.
3\sqrt{16}
Multiply \sqrt{3} and \sqrt{3} to get 3.
3\times 4
Calculate the square root of 16 and get 4.
12
Multiply 3 and 4 to get 12.