Finding the absolute value (modulus) and solving equation

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Homework Help Overview

The discussion revolves around finding the absolute value (modulus) of a complex number expression involving multiple complex numbers and division by another complex number. The subject area is complex numbers and their properties, particularly focusing on modulus calculations.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the computation of the modulus of a product of complex numbers and question the inclusion of the imaginary unit in calculations. There is discussion about the properties of absolute values and the application of the Pythagorean theorem in this context.

Discussion Status

Some participants express uncertainty about their calculations and the treatment of the imaginary unit, while others provide reassurance regarding the correctness of the original poster's approach. There is an acknowledgment of potential further steps, such as simplifying the expression or approximating it, but no consensus on the necessity of these actions.

Contextual Notes

Participants are navigating the complexities of modulus calculations in the context of homework constraints, with some expressing doubt about their understanding of the concepts involved.

infiniteking1
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1. | (2-i)(3+2i)(-5-6i)(-7+3i) / (-4+i) |



Homework Equations





3. I am pretty sure I am not computing it right but this is what i come up with.

square root of 5* square root of 13* square root of 61* square root of 58 / square root of 17.
 
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I'm really sure you are computing it right. |a*b|=|a|*|b|, yes? Why do you think it's not right?
 
I'm not sure if the value of i by itself is 1 or whether or not to include it when I am finding the square root.
 
infiniteking1 said:
I'm not sure if the value of i by itself is 1 or whether or not to include it when I am finding the square root.

The absolute value of a+bi where a and b are both real is sqrt(a^2+b^2). It's the length of the hypotenuse of the triangle with real side a and imaginary perpendicular side b in the Argand diagram. It's the pythagorean theorem. |1|=1 and |i|=1. You are doing everything correctly. Trust me.
 
Ok, thanks for the help. Making sure but there's nothing more to do to this problem, correct?
 
infiniteking1 said:
Ok, thanks for the help. Making sure but there's nothing more to do to this problem, correct?

Not really. You could collect the square roots, or you could write it as an approximate decimal. But I don't see any reason to do that.
 

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