Answer
$\sqrt{10}+\sqrt{2}$
Work Step by Step
The given expression's denominator can be rationalized by multiplying the conjugate denominator's conjugate to both the numerator and the denominator.
RECALL:
The conjugate of $\sqrt{a} - \sqrt{b}$ is $\sqrt{a}+\sqrt{b}$.
Thus, the conjugate of the denominator is $\sqrt{10}+\sqrt{2}$.
Thus, to rationalize the denominator of the given expression, multiply the numerator and the denominator by $\sqrt{10}+\sqrt{2}$.
