Question

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

Answer 1

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:

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