Complex numbers, Homework Question.

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Homework Help Overview

The discussion revolves around simplifying an expression involving complex numbers, specifically using the imaginary unit "j" in the context of a problem that includes square roots of negative numbers.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants explore the expression 6j - 5j²√-63, with some questioning the notation and assumptions regarding "j" and its properties. There are attempts to clarify the expression and its components, including the interpretation of j² as -1.

Discussion Status

Participants are actively engaging with the problem, with some providing alternative interpretations and simplifications of the expression. There is a mix of clarifications and corrections regarding the notation used, but no consensus has been reached on a final approach.

Contextual Notes

There is confusion regarding the notation used for the square and the square root, as well as the interpretation of "j" versus "i" in the context of complex numbers. Some participants express frustration over the clarity of the original problem statement.

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 [itex]6j- 5j^2\sqrt{-3}= 5j\sqrt{63}+ 6j= (5\sqrt{63}+6)j[/itex]. 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 [itex]6j- 5j^2\sqrt{-3}= 5j\sqrt{63}+ 6j= (5\sqrt{63}+6)j[/itex]. What more is there to say?
It should be [tex]\sqrt{-63}[/tex] in your first equation. You confused the heck out of me for a few minutes :wink:
 

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