GreenlyM95872 GreenlyM95872

28-10-2022
Mathematics

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Simplify √-24 usingimaginary i

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DaryannaA493032 DaryannaA493032

28-10-2022

Given:

[tex]\sqrt{-24}[/tex]

Apply the laws of exponents:

[tex]=\sqrt{-1}\sqrt{24}[/tex]

Apply the properties of imaginary numbers:

[tex]i\sqrt{24}[/tex]

Rewrite in standard complex form:

[tex]2\sqrt{6}i[/tex]

Answer:

[tex]2\sqrt{6}\text{ i}[/tex]

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