Comparison operations are not defined for complex numbers.
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OK. I was doing my algebra I homework and I came across this problem during one of my questions I gave myself to practice. This will be a challenge question for all of you Mathematicians and those of utmost intelligence on the net. I have searched the internet for this question and yet no one has actually answered this. Logically it is straight forward but graphically on the x axis it is not possible. This question is a pretty good one indeed, yet there is no answer on the net. Not even one discussion topic for this on the net. No one has actually put this on the internet and I find this confusing. If there is a controversial issue here why does it not have such a discussion? Of all the questions in the world this one is not answered.
Look these up on Google and look for your results:
what is bigger the square root of -7 or the square root of 7?
what is bigger the square root of negative 7 or the square root of negative 7?
what is bigger the square root of negative seven or the square root of negative seven?
You will find results on how to square, how to square root, but not the question stated above.
Logically when I look at this if you squared √ -7 and √ 7 you would get -7 and 7, hence 7 is larger than -7.
But if you try to plot this on a graph as many engineers like to look at it on the x axis it is impossible. i√7 (or √-7) does not touch the x axis, it is undefined, while √7 does touch the x axis. √-7 is imaginary therefore is not even allowed to be a number yet the logical reasoning makes it possible.
So tell me and please reply what do you think, is √ -7 smaller than √ 7, or is it impossible because √-7 is imaginary?