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\frac{4\sqrt{93}}{6}
Factor 1488=4^{2}\times 93. Rewrite the square root of the product \sqrt{4^{2}\times 93} as the product of square roots \sqrt{4^{2}}\sqrt{93}. Take the square root of 4^{2}.
\frac{2}{3}\sqrt{93}
Divide 4\sqrt{93} by 6 to get \frac{2}{3}\sqrt{93}.