Divide 9√33 and 27√11 . Provide an exact answer.

Answer 1

To divide 9√33 by 27√11, we can simplify each radical separately and divide the coefficients:

9√33 can be simplified as follows:
√33 can be simplified as √(11 * 3) = √11 * √3
So, 9√33 = 9(√11 * √3) = 9√11√3

27√11 remains the same.

Now, let's divide the coefficients:
9/27 = 1/3

So, the exact answer is (1/3)(9√11√3) = (3√11√3)/3

We can simplify this further by canceling out the 3's:
= √11√3

Thus, the exact answer is √11√3.