Question

preform the indicated operation. be sure to rationalize the denominator when necessary.make sure to simplify as much as possible and givw the exact answer (this means NO decimals since decimals is rounding!)
8/square root of 3

Answer 1

To simplify the expression \( \frac{8}{\sqrt{3}} \) and rationalize the denominator, you multiply both the numerator and the denominator by \( \sqrt{3} \):

\[
\frac{8}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} = \frac{8\sqrt{3}}{3}
\]

Thus, the exact answer is:

\[
\frac{8\sqrt{3}}{3}
\]