[tex]3\sqrt{24} + 2\sqrt{48} - 10\sqrt{3} - \sqrt{108} =[/tex]
scoatem factori de sub radical:
[tex]= 3\sqrt{4\cdot6} + 2\sqrt{16\cdot3} - 10\sqrt{3} - \sqrt{36\cdot3} =[/tex]
[tex]=3\cdot2\sqrt{6} + 2\cdot4\sqrt{3} - 10\sqrt{3} -6\cdot\sqrt{3} =[/tex]
[tex]=6\sqrt{6} + 8\sqrt{3} - 10\sqrt{3} -6\cdot\sqrt{3} =[/tex]
reducem termenii asemenea:
[tex]=6\sqrt{6} - 8\sqrt{3} =[/tex]
scoatem factor comun:
[tex]\mathbf{=2\sqrt{3}\cdot (3\sqrt{2} - 4)}[/tex]
