Answer:
[tex]4\sqrt{3}+6[/tex]
Step-by-step explanation:
[tex]\dfrac{8\sqrt{6mn}+6\sqrt{8mn}}{2\sqrt{2mn}}=\dfrac{(8\sqrt{6})\sqrt{mn}}{(2\sqrt{2})\sqrt{mn}}+\dfrac{(6\sqrt{8})\sqrt{mn}}{(2\sqrt{2})\sqrt{mn}}\\\\=\dfrac{8}{2}\sqrt{\dfrac{6}{2}}+\dfrac{6}{2}\sqrt{\dfrac{8}{2}}=4\sqrt{3}+3\sqrt{4}\\\\=4\sqrt{3}+6[/tex]
