Divide nine square root of 33 / 27 square root of 11 provide an exact answer

Answer 1

To divide the expression (9√33) / (27√11), we can simplify it by rationalizing the denominators.

First, we will rationalize the denominator: √11.

Multiply both the numerator and the denominator by the conjugate of the denominator, which is √11:
(9√33 * √11) / (27√11 * √11)

Simplifying further:
(9√(33 * 11)) / (27 * √(11 * 11))
(9√(363)) / (27 * √(121))
(9√363) / (27 * 11)
√(363) / 33

Therefore, the exact answer is √(363) / 33.