simplify the quotient: 3/(sqrt7 - sqrt3)
To simplify the quotient, we need to rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator:
\begin{align*}
\frac{3}{\sqrt{7} - \sqrt{3}} &= \frac{3 (\sqrt{7} + \sqrt{3})}{(\sqrt{7} - \sqrt{3})(\sqrt{7} + \sqrt{3})} \\
&= \frac{3 (\sqrt{7} + \sqrt{3})}{7 - 3} \\
&= \frac{3 (\sqrt{7} + \sqrt{3})}{4} \\
&= \frac{3\sqrt{7}}{4} + \frac{3\sqrt{3}}{4}
\end{align*}
Therefore, the simplified quotient is $\boxed{\frac{3\sqrt{7}}{4} + \frac{3\sqrt{3}}{4}}$.