izaacalvarez2003 izaacalvarez2003
  • 18-12-2020
  • Mathematics
contestada

Express the radical using the imaginary unit, i.
Express your answer in simplified form.

Express the radical using the imaginary unit i Express your answer in simplified form class=

Respuesta :

eudora eudora
  • 23-12-2020

Answer:

[tex]\pm i\sqrt{38}[/tex]

Step-by-step explanation:

Given radical is [tex]\pm \sqrt{-38}[/tex]

We can rewrite the radical as,

[tex]\pm\sqrt{-38}=\pm(\sqrt{-1}\times \sqrt{38})[/tex]

            [tex]=\pm(i\sqrt{38})[/tex]

(Since, i = [tex]\sqrt{-1}[/tex])

Therefore, simplified form of the given radical will be,

[tex]\pm \sqrt{-38}=\pm i\sqrt{38}[/tex]

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