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\frac{4\sqrt{3}}{3}\sqrt{3}
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{3}}{3}
Express \frac{4\sqrt{3}}{3}\sqrt{3} as a single fraction.
\frac{4\times 3}{3}
Multiply \sqrt{3} and \sqrt{3} to get 3.
4
Cancel out 3 and 3.