Scoateti factori de sub radical 3456+4704-7776+2464-1944+6534

Răspuns :

[tex]\sqrt{3456}=\sqrt{576}\cdot\sqrt{6}=24\sqrt{6} \\ \\ \sqrt{4704}=\sqrt{784}\cdot\sqrt{6}=28\sqrt{6} \\ \\ \sqrt{7776}=\sqrt{1296}\cdot\sqrt{6}=36\sqrt{6} \\ \\ \sqrt{2464}=\sqrt{16}\cdot\sqrt{154}=4\sqrt{154} \\ \\ \sqrt{1944}=\sqrt{324}\cdot\sqrt{16}=18\sqrt{6} \\ \\ \sqrt{6534}=\sqrt{1089}\cdot\sqrt{6}=33\sqrt{6} \\ \\ 24\sqrt{6}+28\sqrt{6}-36\sqrt{6}+4\sqrt{154}-18\sqrt{6}+33\sqrt{6} \\ \\ =(24+28-36-18+33)\sqrt{6}+4\sqrt{154} \\ \\ =31\sqrt{6}+4\sqrt{154}[/tex]
Rezolvarea este atasata !
........................................
Vezi imaginea ALITTA