9√33/27√11 provide an exact answer.
To simplify this expression, we can first simplify the denominator by multiplying both the numerator and denominator by √11:
9√33/27√11 = (9√33 * √11) / (27√11 * √11)
Simplifying this further:
= (9√363) / (297)
We can also simplify this by dividing both numbers by their greatest common divisor, which is 9:
= √(363) / 33
Thus, the exact answer for 9√33/27√11 is √363/33.
To simplify the expression 9√33/27√11 and provide an exact answer, we can simplify each square root separately.
The square root of 33 can be simplified as follows:
√33 = √(3 * 11) = √3√11
Similarly, the square root of 11 can be simplified as:
√11
Therefore, the simplified expression becomes:
9√3√11 / 27√11
Next, we can simplify the coefficient of the square root:
9/27 = 1/3
So, the expression simplifies further to:
(1/3)√3√11 / √11
Simplifying the expression further, we can cancel out the square root of 11 in the numerator and denominator:
(1/3)√3
Therefore, the exact answer is:
(1/3)√3
To provide an exact answer to the expression 9√33/27√11, we first need to simplify it.
Step 1: Simplify the expression under each square root individually.
√33 = √(11 × 3) = √11√3
Step 2: Simplify the expression by combining similar terms.
9√33/27√11 = 9(√11√3)/(27√11) = (9/27)(√11√3/√11)
Step 3: Simplify further.
√11/√11 is equal to 1 because the square root of a number divided by the square root of the same number is equal to 1.
Thus, the simplified expression is:
(9/27)(√3) = (1/3)(√3) = √3/3
Therefore, the exact answer to the expression 9√33/27√11 is √3/3.