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

Answer 1

To divide 9√33 by 27√11, we can simplify the expression by dividing the numerical coefficients and the radicands separately.

The numerical coefficients 9 and 27 can be divided as follows:

9/27 = 1/3

Now, let's divide the radicands 33 and 11:

√33/√11 = √(33/11) = √3

Combining the two results, we get:

1/3 * √3 = (1√3)/3

Therefore, the exact answer is (1√3)/3.