Question

Perform the indicated operation. Be sure to rationalize the denominator, when necessary. Make sure to simplify as much as possible and give the exact answer (this means NO decimals since decimals is rounding).8/sqrt3

Answer 1

To simplify the expression \( \frac{8}{\sqrt{3}} \) and rationalize the denominator, we 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 final answer, with the denominator rationalized, is:

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