shiannecrist shiannecrist

14-07-2016
Mathematics

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7 square root of 3 end root minus 4 square root of 6 end root plus square root of 48 end root minus square root of 54

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dalendrk dalendrk

15-07-2016

[tex]7\sqrt3-4\sqrt6+\sqrt{48}-\sqrt{54}\\\\=7\sqrt3-4\sqrt6+\sqrt{16\cdot3}-\sqrt{9\cdot6}\\\\=7\sqrt3-4\sqrt6+\sqrt{16}\cdot\sqrt3-\sqrt9\cdot\sqrt6\\\\=7\sqrt3-4\sqrt6+4\sqrt3-3\sqrt6\\\\=\boxed{11\sqrt3-7\sqrt6}[/tex]

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