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\frac{2\sqrt{6}}{6}
Factor 24=2^{2}\times 6. Rewrite the square root of the product \sqrt{2^{2}\times 6} as the product of square roots \sqrt{2^{2}}\sqrt{6}. Take the square root of 2^{2}.
\frac{1}{3}\sqrt{6}
Divide 2\sqrt{6} by 6 to get \frac{1}{3}\sqrt{6}.