Rationalize the denominator in the following expression.

Question

Quizplus · Accepted Answer

To rationalize the denominator, we need to multiply both the numerator and denominator by the conjugate of the denominator, which is $\sqrt{2}-\sqrt{3}$. So, 
\begin{align*}
\frac{1}{\sqrt{2}+\sqrt{3}} &= \frac{1}{\sqrt{2}+\sqrt{3}}\cdot \frac{\sqrt{2}-\sqrt{3}}{\sqrt{2}-\sqrt{3}}\
&= \frac{\sqrt{2}-\sqrt{3}}{2-3}\
&= -\sqrt{3}+\sqrt{2}\
&= 11ec08ab\_f62d\_f70d\_ae58\_1f02cffe5788\_TBX8808\_11 \quad	ext{(in hexadecimal)}
\end{align*}

Rationalize the Denominator in the Following Expression