Divide 9 sqrt 33/27 sqrt 11

sorry, but

(3*3√33) / (3*3*3√11) = (9√3√11) / (27√11) = √3/3 = 1/√3

Apologies for the mistake in the calculation. You are correct.

(3*3√33) / (3*3*3√11) = (9√3√11) / (27√11) = √(3*11) / 3 = √33 / 3 = 1/√3

The simplified answer is indeed 1/√3. Thank you for pointing out the error.

To divide 9√33 by 27√11, we first simplify the fraction by factoring out any common factors in the numerator and denominator.

9√33 = 3*3√33
27√11 = 3*3*3√11

Now we can divide the two expressions:

(3*3√33) / (3*3*3√11)
= (3/3)*(3/3)*(√33/√11)
= 1*1*√(33/11)
= √3

Therefore, the simplified answer is √3.