x8b35g59d2 x8b35g59d2
  • 24-08-2022
  • Mathematics
contestada

Simplify.
√-162 +2√-32-3√-98

Respuesta :

Medunno13
Medunno13 Medunno13
  • 24-08-2022

Answer:

[tex]-4i\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{-162}=\sqrt{-81}\sqrt{2}=9i\sqrt{2} \\ \\ \sqrt{-32}=\sqrt{-16}\sqrt{2}=4i\sqrt{2} \\ \\ \sqrt{-98}=\sqrt{-49}\sqrt{2}=7i\sqrt{2} \\ \\ \therefore \sqrt{-162}+2\sqrt{-32}-3\sqrt{-98}=9i\sqrt{2}+8i\sqrt{2}-21i\sqrt{2}=-4i\sqrt{2}[/tex]

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