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\frac{2\sqrt{3}}{4\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{1}{2}
Cancel out 2\sqrt{3} in both numerator and denominator.