Divide 9√33 27√11
To divide 9√33 by 27√11, we can simplify the square roots and then divide the coefficients separately.
9√33 can be simplified by factoring the radicand:
9√33 = 9√(3 × 11)
Since the square root of 33 cannot be simplified further, the expression remains the same.
27√11 can also be simplified:
27√11 = 3 × 9√11
Now that the square roots have been simplified, we can divide the coefficients:
9 ÷ 3 = 3
Therefore, the division of 9√33 by 27√11 is equal to 3.
To divide 9√33 by 27√11, we can simplify it further by dividing the numbers separately:
Step 1: Divide the numbers: 9/27 = 1/3
Step 2: Divide the square roots: √33 / √11 = √(33/11) = √3
Step 3: Combine the results: (1/3) * √3 = √3/3
Thus, 9√33 divided by 27√11 is equal to √3/3.
To divide the expression 9√33 by 27√11, we can simplify the expression as follows:
Step 1: Simplify the numbers outside the square roots.
9 divided by 27 is equal to 1/3.
Step 2: Simplify the terms inside the square roots.
√33 cannot be simplified any further since there are no perfect square factors.
√11 cannot be simplified any further since there are no perfect square factors.
Step 3: Combine the simplified terms inside and outside the square roots.
We have (1/3)√33 divided by √11.
Step 4: Rationalize the denominator.
To rationalize the denominator, we multiply the expression by the conjugate of the denominator, which is √11.
(1/3)√33 divided by √11 is equal to ((1/3)√33 * √11) / (√11 * √11).
This simplifies to (√363) / 33.
Therefore, the expression 9√33 divided by 27√11 simplifies to (√363) / 33.