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2\times 3\times 2\times \frac{1}{2}
Multiply \sqrt{2} and \sqrt{2} to get 2.
6\times 2\times \frac{1}{2}
Multiply 2 and 3 to get 6.
12\times \frac{1}{2}
Multiply 6 and 2 to get 12.
\frac{12}{2}
Multiply 12 and \frac{1}{2} to get \frac{12}{2}.
6
Divide 12 by 2 to get 6.