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In Matematika / Sekolah Menengah Atas | 2025-08-11

hasil dari 4 akar 96 + 3akar 24 - 4 akar 54

Asked by kevinrr354

Answer (1)

Penyelesaian[tex]4\sqrt{96} + 3\sqrt{24} - 4\sqrt{54}[/tex][tex]\sqrt{96} = \sqrt{16 \cdot 6} = 4\sqrt{6}[/tex][tex]\sqrt{24} = \sqrt{4 \cdot 6} = 2\sqrt{6}[/tex][tex]\sqrt{54} = \sqrt{9 \cdot 6} = 3\sqrt{6}[/tex][tex]4\sqrt{96} = 4 \cdot (4\sqrt{6}) = 16\sqrt{6}[/tex][tex]3\sqrt{24} = 3 \cdot (2\sqrt{6}) = 6\sqrt{6}[/tex][tex]-4\sqrt{54} = -4 \cdot (3\sqrt{6}) = -12\sqrt{6}[/tex][tex]16\sqrt{6} + 6\sqrt{6} - 12\sqrt{6} = (16 + 6 - 12)\sqrt{6}[/tex][tex]= 10\sqrt{6}[/tex]

Answered by vinganzbeut | 2025-08-11