(6×√2/2)/1/2

To simplify the expression \((6 \times \sqrt{2}/2) / (1/2)\), we can break it down step by step. 1. **Start with the numerator**: \[ 6 \times \sqrt{2}/2 \] This can be simplified by dividing \(6\) by \(2\): \[ = 3 \times \sqrt{2} \] 2. **Now the expression looks like**: \[ (3 \times \sqrt{2}) / (1/2) \] 3. **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: \[ \boxed{6\sqrt{2}} \]