chantalcastillo91 chantalcastillo91
  • 28-08-2020
  • Mathematics
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Express the radical using the imaginary unit i

Express the radical using the imaginary unit i class=

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xKelvin
xKelvin xKelvin
  • 28-08-2020

Answer:

[tex]=\pm i\sqrt{66}[/tex]

Step-by-step explanation:

So we have:

[tex]\pm\sqrt{-66}[/tex]

This is the same as:

[tex]=\pm\sqrt{66\cdot-1}[/tex]

Separate:

[tex]=\pm\sqrt{66}\cdot\sqrt{-1}[/tex]

Replace the second term with i:

[tex]=\pm i\sqrt{66}[/tex]

The square root of 66 cannot be simplified.

So, this is our answer :)

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