To simplify the expression \((6 \times \sqrt{2}/2) / (1/2)\), we can break it down step by step.
Start with the numerator: \[ 6 \times \sqrt{2}/2 \] This can be simplified by dividing \(6\) by \(2\): \[ = 3 \times \sqrt{2} \]
Now the expression looks like: \[ (3 \times \sqrt{2}) / (1/2) \]
Dividing by \(1/2\) is the same as multiplying by \(2\): \[ 3 \times \sqrt{2} \times 2 \] Simplifying that gives: \[ = 6 \times \sqrt{2} \]
Therefore, the simplified result of the expression is: \[ \boxed{6\sqrt{2}} \]