9 √33 divided by 27 √11

Answer 1

To simplify the expression (9 √33) divided by (27 √11), we can begin by simplifying each term in the numerator and denominator.

9 √33 can be simplified as follows:
9 √33 = √(9^2) * √33 = 3 * √33

27 √11 can be simplified as follows:
27 √11 = √(27^2) * √11 = 3 * 3√11 = 9√11

So, we now have:

(3 * √33) / (9√11)

Next, we can divide the numerator and denominator by 3, which gives us:

(√33) / (3√11)

Since the numerator and denominator have no common factors other than 1, this expression cannot be simplified any further.

Therefore, the simplified form of (9 √33) divided by (27 √11) is (√33) / (3√11).