Question

Divide 9√33/27√11 . Provide an exact answer. (1 point)

Answer 1

To divide these two radicals, we can simplify the numerator and denominator separately and then divide.

Starting with the numerator:
9√33
= √9 * √33
= 3 * √33

And now the denominator:
27√11
= √27 * √11
= √9 * √3 * √11
= 3 * √3 * √11

Now we have:
(3 * √33) / (3 * √3 * √11)

Next, we can cancel out the common factors in the numerator and denominator:
3/3 = 1

So the final answer is:
1 * (√33 / (√3 * √11)) or, simplified as:
√33 / (√3 * √11) or, further simplified as:
√(33/(3*11)) = √(33/33) = √1 = 1