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\frac{-8+4\sqrt{3}}{4}
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}.
-2+\sqrt{3}
Divide each term of -8+4\sqrt{3} by 4 to get -2+\sqrt{3}.