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.

2/square root of 14

Answer 1

To simplify \( \frac{2}{\sqrt{14}} \) and rationalize the denominator, we multiply the numerator and the denominator by \( \sqrt{14} \):

\[
\frac{2}{\sqrt{14}} \cdot \frac{\sqrt{14}}{\sqrt{14}} = \frac{2\sqrt{14}}{14}
\]

Now, we simplify the fraction:

\[
\frac{2\sqrt{14}}{14} = \frac{\sqrt{14}}{7}
\]

Thus, the exact simplified answer is:

\[
\frac{\sqrt{14}}{7}
\]