Question
2 over sqrt14
Answers
GPT-4o mini
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 \( \frac{\sqrt{14}}{7} \).
\[
\frac{2}{\sqrt{14}} \times \frac{\sqrt{14}}{\sqrt{14}} = \frac{2\sqrt{14}}{14}
\]
Now simplify the fraction:
\[
\frac{2\sqrt{14}}{14} = \frac{\sqrt{14}}{7}
\]
So, \( \frac{2}{\sqrt{14}} \) simplifies to \( \frac{\sqrt{14}}{7} \).