Question
simplify 2/sqrt14
Answers
GPT-4o mini
To simplify the expression \( \frac{2}{\sqrt{14}} \), we can rationalize the denominator. This means we will multiply both the numerator and denominator by \( \sqrt{14} \):
\[
\frac{2}{\sqrt{14}} \cdot \frac{\sqrt{14}}{\sqrt{14}} = \frac{2\sqrt{14}}{14}
\]
Now, simplify the fraction:
\[
\frac{2\sqrt{14}}{14} = \frac{\sqrt{14}}{7}
\]
So, the simplified form of \( \frac{2}{\sqrt{14}} \) is
\[
\frac{\sqrt{14}}{7}
\]
\[
\frac{2}{\sqrt{14}} \cdot \frac{\sqrt{14}}{\sqrt{14}} = \frac{2\sqrt{14}}{14}
\]
Now, simplify the fraction:
\[
\frac{2\sqrt{14}}{14} = \frac{\sqrt{14}}{7}
\]
So, the simplified form of \( \frac{2}{\sqrt{14}} \) is
\[
\frac{\sqrt{14}}{7}
\]