Question

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

Answer 1

$\sqrt{3456}=\sqrt{576}\cdot\sqrt{6}=24\sqrt{6} \\ \\ \sqrt{4704}=\sqrt{784}\cdot\sqrt{6}=28\sqrt{6} \\ \\ \sqrt{7776}=\sqrt{1296}\cdot\sqrt{6}=36\sqrt{6} \\ \\ \sqrt{2464}=\sqrt{16}\cdot\sqrt{154}=4\sqrt{154} \\ \\ \sqrt{1944}=\sqrt{324}\cdot\sqrt{16}=18\sqrt{6} \\ \\ \sqrt{6534}=\sqrt{1089}\cdot\sqrt{6}=33\sqrt{6} \\ \\ 24\sqrt{6}+28\sqrt{6}-36\sqrt{6}+4\sqrt{154}-18\sqrt{6}+33\sqrt{6} \\ \\ =(24+28-36-18+33)\sqrt{6}+4\sqrt{154} \\ \\ =31\sqrt{6}+4\sqrt{154}$

Answer 2

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