hangdangiuqua
hangdangiuqua hangdangiuqua
  • 13-08-2021
  • Mathematics
contestada

(√17+3√48)-(√17-3√48)

Respuesta :

devishri1977
devishri1977 devishri1977
  • 13-08-2021

Answer:

Step-by-step explanation:

[tex](\sqrt{17}+3\sqrt{48})-(\sqrt{17}-3\sqrt{48}) =\sqrt{17}+3\sqrt{48}-\sqrt{17}+3\sqrt{48}\\[/tex]

                                                 [tex]= \sqrt{17}-\sqrt{17}+3\sqrt{48}+3\sqrt{48}\\\\= 0 + (3+3)\sqrt{48}\\\\=6\sqrt{48}\\[/tex]

Now factorize 48

[tex]= 6\sqrt{2*2*2*2*3}\\\\=6*2*2\sqrt{3}\\\\=24\sqrt{3}[/tex]

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