Divide 9√33 / 27√11 . Provide an exact answer. (1 point)
To divide 9√33 by 27√11, we can simplify it by factoring out the common factors under the square roots:
9√33 = 3 * 3 * √33 = 3^2 * √(3^2 * 11) = 3^2 * 3√11 = 9√11
27√11 = 3 * 3 * 3 * √11 = 3^3 * √11
Now we can divide 9√33 by 27√11:
(9√33) / (27√11) = (9√11) / (27√11)
= 9/27
= 1/3
Therefore, the exact answer is 1/3.