2 over sqrt14

1 answer

The expression \( \frac{2}{\sqrt{14}} \) can be simplified by rationalizing the denominator. To do this, multiply both the numerator and the denominator by \( \sqrt{14} \):

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

Now simplify the fraction:

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

So, \( \frac{2}{\sqrt{14}} \) simplifies to \( \frac{\sqrt{14}}{7} \).