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  • 25-08-2021
  • Mathematics
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simplify 3√578 - √162 + 4√32

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Witcher3
Witcher3 Witcher3
  • 29-08-2021

[tex]3\sqrt{578}-\sqrt{162}+4\sqrt{32}=\\\\=3\sqrt{289\cdot2}-\sqrt{81\cdot2}+4\sqrt{16\cdot2}=\\\\=3\sqrt{17^2\cdot2}-\sqrt{9^2\cdot2}+4\sqrt{4^2\cdot2}=\\\\=3\cdot17\sqrt2-9\sqrt2+4\cdot4\sqrt2=\\\\=51\sqrt2-9\sqrt2+16\sqrt2=51\sqrt2+7\sqrt2=\boxed{58\sqrt2}[/tex]

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