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\frac{2\times 2\sqrt{3}\times \frac{\sqrt{3}}{4}}{5}\sqrt{2}
Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.
\frac{4\sqrt{3}\times \frac{\sqrt{3}}{4}}{5}\sqrt{2}
Multiply 2 and 2 to get 4.
\frac{\sqrt{3}\sqrt{3}}{5}\sqrt{2}
Cancel out 4 and 4.
\frac{3}{5}\sqrt{2}
Multiply \sqrt{3} and \sqrt{3} to get 3.