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!).(2 points)

Question

2/√14
=

Answer 1

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

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

Next, we can simplify \( \frac{2\sqrt{14}}{14} \):

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

Thus, the final answer is:

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