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