emmanuelaboagye872 emmanuelaboagye872
  • 09-04-2019
  • Mathematics
contestada

What is the square root of –16?

Respuesta :

lexi4688 lexi4688
  • 09-04-2019
The answer to your question will be 4 i
Answer Link
Аноним Аноним
  • 09-04-2019

Answer:

[tex]\boxed{\bold{4i}}[/tex]

Step By Step Explanation:

[ Step One ] Apply Radical Rule [tex]\bold{\sqrt{-a}=\sqrt{-1}\sqrt{a}: \ \sqrt{-16}=\sqrt{-1}\sqrt{16}}[/tex]

[tex]\bold{\sqrt{-1}\sqrt{16}}[/tex]

[ Step Two ] Apply Imaginary Number Rule: [tex]\bold{\sqrt{-1}=i}[/tex]

[tex]\bold{\sqrt{16}i}[/tex]

[ Step Three ] Simplify [tex]\bold{\sqrt{16}}[/tex]

[tex]\bold{\sqrt{16}: \ 4}[/tex]

[ Step Four ] Rewrite Equation

[tex]\bold{4i}[/tex]

Answer Link

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