Complex numbers, Homework Question.

AI Thread Summary
The discussion revolves around simplifying the expression 6j - 5j²√-63. Participants clarify that j² equals -1, which is crucial for solving the problem. The correct interpretation of the expression is emphasized, noting the importance of proper notation, such as using j² for squares. The final simplified form is suggested to be (5√63 + 6)j, indicating the resolution of the initial confusion. Overall, the conversation highlights the challenges of working with complex numbers and the notation differences between engineers and mathematicians.
POLISH_Soldier
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Express this in terms of j


6j-5j2√-63

I have no idea how to do the ones with square roots, my teacher is lost. Completely and I am stuck on this 1 number for like 2 hrs trying to figure it out.

The answer is sopose to be -28j please help me out

**Note that j2= -1

NOTE ALSO THAT the 2 is a 5jsquare
 
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You seem to have written the given expression incorrectly. The question itself seems incredibly simple. Can we assume that for "j", you mean j*j= -1 ? Let me try to continue:

[note, you might really want to see the part below starting with "Where..." ]
6j - 5j2(-63)^(0.5)
6j -5*2*j*j(3*3*7)^(0.5)
6j -5*2*3*(-1)*(7^0.5)
6j + 30*7^(0.5)

Where did you find j2 = -1 ? Is that simply a given condition? "2" is a subscript?
6j - 5j2(-63)^(0.5)
6j + 5*(-1)*3*(7^(0.5))
6j - 15*(7^(0.5))
 
Oh, those engineers and their jmaginary numbers!

Any normal person would use "i" but those engineers have to use "j"!
I assume you mean 6j-5j^2√-63. If you won't use LaTex at least use ^2 to indicate squares. Yes, J^2= -1 so obviously 6j- 5j^2\sqrt{-3}= 5j\sqrt{63}+ 6j= (5\sqrt{63}+6)j. What more is there to say?
 
HallsofIvy said:
Oh, those engineers and their jmaginary numbers!

Any normal person would use "i" but those engineers have to use "j"!
I assume you mean 6j-5j^2√-63. If you won't use LaTex at least use ^2 to indicate squares. Yes, J^2= -1 so obviously 6j- 5j^2\sqrt{-3}= 5j\sqrt{63}+ 6j= (5\sqrt{63}+6)j. What more is there to say?
It should be \sqrt{-63} in your first equation. You confused the heck out of me for a few minutes :wink:
 
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