Question

squareroot3(-9-squareroot2)

Answer 1

To simplify the expression \( \sqrt{3}(-9 - \sqrt{2}) \), follow these steps:

1. **Distribute** \( \sqrt{3} \) to both terms inside the parentheses:
\[
\sqrt{3} \cdot (-9) + \sqrt{3} \cdot (-\sqrt{2})
\]

2. **Perform the multiplication**:
- For the first term:
\[
-9\sqrt{3}
\]
- For the second term:
\[
-\sqrt{3} \cdot \sqrt{2} = -\sqrt{6}
\]

3. **Combine the terms**:
\[
-9\sqrt{3} - \sqrt{6}
\]

Thus, the simplified expression is:
\[
-9\sqrt{3} - \sqrt{6}
\]