preform the indicated operation. Be sure to rationalize the denominator when necessary. make sure to simplify as much as possible and give the exacr answer.

4 square root of 3 times 11 square root of 4

1 answer

To perform the indicated operation, we start with the expression:

\[ 4 \sqrt{3} \times 11 \sqrt{4} \]

First, we can simplify \(\sqrt{4}\):

\[ \sqrt{4} = 2 \]

Now we can rewrite the expression:

\[ 4 \sqrt{3} \times 11 \times 2 \]

Next, we can combine the coefficients:

\[ 4 \times 11 \times 2 = 88 \]

Now, we can write the expression as:

\[ 88 \sqrt{3} \]

Thus, the final answer is:

\[ \boxed{88 \sqrt{3}} \]