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\frac{\sqrt{6}\sqrt{3}}{2}
Express \frac{\sqrt{6}}{2}\sqrt{3} as a single fraction.
\frac{\sqrt{3}\sqrt{2}\sqrt{3}}{2}
Factor 6=3\times 2. Rewrite the square root of the product \sqrt{3\times 2} as the product of square roots \sqrt{3}\sqrt{2}.
\frac{3\sqrt{2}}{2}
Multiply \sqrt{3} and \sqrt{3} to get 3.