Should we get rid of "absolute value" and replace it with "square root of square?"
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Proving_a_Negative
Voting Style:  Open  Point System:  7 Point  
Started:  2/2/2015  Category:  Miscellaneous  
Updated:  2 years ago  Status:  Post Voting Period  
Viewed:  668 times  Debate No:  69339 
Debate Rounds (3)
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Votes (3)
Round 1: Acceptance Round 2: Opening Argument Round 3: Rebuttal and Closing Statement Should we get rid of absolute value and replace it with the square root of the square? I believe not. This is something that I thought we should do as a kid, but now I realize that I'm wrong. Hopefully I can convince somebody else also. Good luck to my opponent.
COMO interesante! jajajaja 

Taking the square root of square of a number will indeed make any real number positive. The problem is, absolute value measures magnitude. Why does this matter? For imaginary numbers, the result you get with these 2 functions is different. Take sqrt(1) for example. The abs(sqrt(1))=1 but the sqrt(sqrt(1)^2)=sqrt(1). Sqrt(1) doesn't equal 1. Therefore, we can't get rid of absolute value. Why did I bring up this topic? For algebra students, it would be nice to know how to undo an absolute value sign. Take this equation: abs(x)=3 How do you undo an absolute value? Well you could pretend that absolute value is the same as the square root of square. So the equation then looks like this: sqrt(x^2)=3 This is solvable using systematic algebra now. In both cases, x=3,3 which is completely correct. Now let's say we have this equation: abs(x)=3 Our trick before doesn't work simply because of reasons stated before. Let's try it out anyways. The equation will now look like this: sqrt(x^2)=3 Solving the problem will give you x=sqrt(3) and sqrt(3). Plug these answers back into the original equation: abs(x)=3 and you will realize that it is incorrect. That is why we can't get rid of absolute value.
And a pear in a partridge tree 

3 votes have been placed for this debate. Showing 1 through 3 records.
Vote Placed by PolitcsMaster 2 years ago
Proving_a_Negative  JKL  Tied  

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Reasons for voting decision: con frickin concedes guys
Vote Placed by lannan13 2 years ago
Proving_a_Negative  JKL  Tied  

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Reasons for voting decision: Pro never refuted COn
Vote Placed by imabench 2 years ago
Proving_a_Negative  JKL  Tied  

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Reasons for voting decision: pro is retarded
x= + or 2.
When you simply take the square root of a number, you get only one result i.e. sqrt(4)=2