Multiply 9√3 ⋅6√7 Give an exact answer.

Answer 1

To multiply the expressions \( 9\sqrt{3} \) and \( 6\sqrt{7} \), you can follow these steps:

1. Multiply the coefficients (the numbers outside the square roots): \[ 9 \cdot 6 = 54 \]

2. Multiply the square roots: \[ \sqrt{3} \cdot \sqrt{7} = \sqrt{3 \cdot 7} = \sqrt{21} \]

3. Combine the results: \[ 9\sqrt{3} \cdot 6\sqrt{7} = 54\sqrt{21} \]

Thus, the exact answer is: \[ \boxed{54\sqrt{21}} \]