Multiply (√7) ⋅ (-√2)

Question

Give an exact answer.(1 point)

Answer 1

To multiply \((\sqrt{7}) \cdot (-\sqrt{2})\), we can follow these steps:

1. Multiply the numbers under the square root: \[ \sqrt{7} \cdot -\sqrt{2} = -\sqrt{7 \cdot 2} \]

2. Calculate the product inside the square root: \[ 7 \cdot 2 = 14 \]

3. Therefore, the expression simplifies to: \[ -\sqrt{14} \]

The exact answer is \(-\sqrt{14}\).