Multiply 9 −−√3 ⋅6–√7 . Give an exact answer.(1 point)

1 answer

To multiply √3 by 6, we simply multiply the numbers outside the square root and the numbers inside the square root together:

√3 * 6 = 6√3

To multiply √7 by 6, we follow the same procedure:

√7 * 6 = 6√7

Therefore, 9 −−√3 ⋅6–√7 can be rewritten as:

9*(6√3)*(6√7)

To simplify further, we multiply the numbers outside the square root together:

9 * 6 * 6 = 324

And we multiply the numbers inside the square root together:

√3 * √7 = √(3*7) = √21

Therefore, the exact answer is:

324√21.