4.
\(=\dfrac{4\left(\sqrt{7}-\sqrt{3}\right)}{\left(\sqrt{7}+\sqrt{3}\right)\left(\sqrt{7}-\sqrt{3}\right)}+\dfrac{2\left(\sqrt{7}+3\right)}{\left(\sqrt{7}-3\right)\left(\sqrt{7}+3\right)}\)
\(=\dfrac{4\left(\sqrt{7}-\sqrt{3}\right)}{4}+\dfrac{2\left(\sqrt{7}+3\right)}{-2}=\sqrt{7}-\sqrt{3}-\sqrt{7}-3\)
\(=-\sqrt{3}-3\)
5.
Hàm đồng biến khi \(2m>0\Leftrightarrow m>0\)