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Mathematics 24 Online
OpenStudy (omgthatgirl):

Which of the following is the correct notation for the complex number -31+ sqrt-36 a. -31+6t b. 31-6t c. -31+ sqrt-6 d. -31- sqrt6

OpenStudy (nathanjhw):

For 6t do you mean 6i?

OpenStudy (nathanjhw):

Because the square root of a negative number "sqrt -36" gives you an imaginary number, which is shown by "i".

OpenStudy (nathanjhw):

Therefore you take "sqrt -36" and replace the negative with an imaginary number "i" and then tale the sqrt of 36, which gives you 6i.

OpenStudy (omgthatgirl):

yea 6i sorry

OpenStudy (nathanjhw):

\[\sqrt{-36} = i \sqrt{36}= 6i\]

OpenStudy (nathanjhw):

So after you do that you have -31 + 6i.

OpenStudy (omgthatgirl):

so i t would not be sqrt61

OpenStudy (nathanjhw):

Where did you get sqrt 61?

OpenStudy (omgthatgirl):

i dont know just making sure :/ lol

OpenStudy (omgthatgirl):

thank you

OpenStudy (nathanjhw):

No problem.

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