[tex]\frac{\sqrt{48}+\sqrt{27}}{\sqrt{3}} = \frac{\sqrt{16\cdot3}+\sqrt{9\cdot3}}{\sqrt{3}} = \frac{\sqrt{16}\cdot\sqrt{3}+\sqrt{9}\cdot\sqrt{3}}{\sqrt{3}} = \frac{4\sqrt{3}+3\sqrt{3}}{\sqrt{3}} = \frac{7\sqrt{3}}{\sqrt{3}} = 7[/tex]
[tex]Lub\\\\\frac{\sqrt{48}+\sqrt{27}}{\sqrt{3}} = \frac{\sqrt{48}}{\sqrt{3}}+\frac{\sqrt{27}}{\sqrt{3}} =\sqrt{\frac{48}{3}}+\sqrt{\frac{27}{3}} = \sqrt{16}+\sqrt{9} = 4+3 = 7[/tex]
