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\frac{4\sqrt{3}}{3}\sqrt{2}
Factor 48=4^{2}\times 3. Rewrite the square root of the product \sqrt{4^{2}\times 3} as the product of square roots \sqrt{4^{2}}\sqrt{3}. Take the square root of 4^{2}.
\frac{4\sqrt{3}\sqrt{2}}{3}
Express \frac{4\sqrt{3}}{3}\sqrt{2} as a single fraction.
\frac{4\sqrt{6}}{3}
To multiply \sqrt{3} and \sqrt{2}, multiply the numbers under the square root.