9√33/27√11

Answer 1

To simplify the expression 9√33/27√11, you can first simplify the numerator and the denominator separately.

For the numerator 9√33:

√33 can be simplified as √(3*11). Since 11 is a prime number, it cannot be simplified. Therefore, the expression becomes 9√(3*11) or 9√(33).

For the denominator 27√11:

27 can be simplified as 3*3*3 or 3^3.

The expression now becomes (3^3)√11 or 3√11*3√11*3√11.

Now, you can cancel out the common factors √11 in the numerator and denominator:

(9√(3*11))/(3√11*3√11*3√11) = (9)/(3√11*3√11)

Since 3*3 is 9, the final simplified expression is:

(9)/(9√11)

You can further simplify this expression by canceling out the common factor 9:

(9)/(9√11) = 1/√11

Therefore, the simplified expression is 1/√11.