Imaginary Numbers

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Bailey Moore

April 10, 2017 22:54
Edited

I have a question--sometimes the answer to the square root of an imaginary number will just be written in positive form with an i, but other times, it will be written like this (ex): 2√−4. When do I know to write an answer in each form (ex). √-38?

In other words, when do you know how to write √-38 as 38i or #√# i?

Do you understand what I am asking? I don´t know if I did a great job of explaining that.

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Joy Zhou

April 11, 2017 04:51
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Hi,

That is a good question! This article can answer your question.

https://www.khanacademy.org/math/algebra2/introduction-to-complex-numbers-algebra-2/the-imaginary-numbers-algebra-2/a/intro-to-the-imaginary-numbershttps://www.khanacademy.org/math/algebra2/introduction-to-complex-numbers-algebra-2/the-imaginary-numbers-algebra-2/a/intro-to-the-imaginary-numbers
Bailey Moore

April 11, 2017 20:01
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Ok, so it is a matter of how simplified the answer is?

I have another question:

Is √−5 i√5 or 5i?
Joy Zhou

April 22, 2017 22:46
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So if you have a negative square root, then you can simplify the answer with i.

For you question, the answer should be i√5.

Hope this helps!

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