To multiply \( \sqrt{11} \) and \( 6\sqrt{7} \), you can follow these steps:
- Multiply the coefficients: \( 6 \)
- Multiply the square roots: \( \sqrt{11} \times \sqrt{7} = \sqrt{11 \times 7} = \sqrt{77} \)
Putting it all together:
\[ \sqrt{11} \times 6\sqrt{7} = 6 \times \sqrt{77} = 6\sqrt{77} \]
So the final result is \( 6\sqrt{77} \).