Answer
$\sqrt p-2$
Work Step by Step
Multiply $\frac{\sqrt p-2}{\sqrt p-2}$ to the expression, we have:
$\frac{p-4}{\sqrt p+2}\cdot \frac{\sqrt p-2}{\sqrt p-2}=\frac{(p-4)(\sqrt p-2)}{p-4}=\sqrt p-2$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.