The Instigator
Proving_a_Negative
Con (against)
Winning
10 Points
The Contender
JKL
Pro (for)
Losing
7 Points

Should we get rid of "absolute value" and replace it with "square root of square?"

Do you like this debate?NoYes+0
Add this debate to Google Add this debate to Delicious Add this debate to FaceBook Add this debate to Digg  
Post Voting Period
The voting period for this debate has ended.
after 3 votes the winner is...
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: 730 times Debate No: 69339
Debate Rounds (3)
Comments (10)
Votes (3)

 

Proving_a_Negative

Con

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.
JKL

Pro

COMO interesante! jajajaja
Debate Round No. 1
Proving_a_Negative

Con

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.
JKL

Pro

And a pear in a partridge tree
Debate Round No. 2
Proving_a_Negative

Con

Please vote pro for the lol factor. Thanks. :D
JKL

Pro

Thabk ya bby

Disk o tech a
Debate Round No. 3
10 comments have been posted on this debate. Showing 1 through 10 records.
Posted by Proving_a_Negative 2 years ago
Proving_a_Negative
Surrealism, would you like to debate this?
Posted by YassineB 2 years ago
YassineB
- STFU, this is not a competition of most stupid answer. Square Root is positive, PERIOD. If you don't know this, you should probably redo your elementary education. DAMN!
Posted by Surrealism 2 years ago
Surrealism
Every definition for square root I can find is "a number that produces a specified quantity when multiplied by itself." That means square roots will always have plus or minus answers. Math doesn't change when used in an equation.
Posted by UndeniableReality 2 years ago
UndeniableReality
I'm not sure you'll get someone who's actually studied any math to debate you on this.
Posted by Proving_a_Negative 2 years ago
Proving_a_Negative
Surrealism, that only applies when you are solving an equation i.e. x^2=4
x= + or -2.
When you simply take the square root of a number, you get only one result i.e. sqrt(4)=2
Posted by Surrealism 2 years ago
Surrealism
The square root of a number can be written as positive or negative. Squaring negative two results in positive four, the square root of which is plus or minus two. The square root of the square does not remove the minus sign.
Posted by Proving_a_Negative 2 years ago
Proving_a_Negative
Dang, you couldn't have put it any better.
Posted by YassineB 2 years ago
YassineB
- Absolute Value is just a particular case of Arguments which is a particular case of Norms. It just so happens that R is uni-demential Banach & Dense space that the Absolute Value coincides with the square root of square.
Posted by Proving_a_Negative 2 years ago
Proving_a_Negative
Taking the square root of a square will result in removing a negative sign for any real number. This is how they are similar to absolute value.
Posted by Surrealism 2 years ago
Surrealism
Well, they're two different concepts entirely.
3 votes have been placed for this debate. Showing 1 through 3 records.
Vote Placed by PolitcsMaster 2 years ago
PolitcsMaster
Proving_a_NegativeJKLTied
Agreed with before the debate:--Vote Checkmark0 points
Agreed with after the debate:--Vote Checkmark0 points
Who had better conduct:-Vote Checkmark-1 point
Had better spelling and grammar:-Vote Checkmark-1 point
Made more convincing arguments:-Vote Checkmark-3 points
Used the most reliable sources:-Vote Checkmark-2 points
Total points awarded:07 
Reasons for voting decision: con frickin concedes guys
Vote Placed by lannan13 2 years ago
lannan13
Proving_a_NegativeJKLTied
Agreed with before the debate:--Vote Checkmark0 points
Agreed with after the debate:--Vote Checkmark0 points
Who had better conduct:--Vote Checkmark1 point
Had better spelling and grammar:--Vote Checkmark1 point
Made more convincing arguments:Vote Checkmark--3 points
Used the most reliable sources:--Vote Checkmark2 points
Total points awarded:30 
Reasons for voting decision: Pro never refuted COn
Vote Placed by imabench 2 years ago
imabench
Proving_a_NegativeJKLTied
Agreed with before the debate:--Vote Checkmark0 points
Agreed with after the debate:--Vote Checkmark0 points
Who had better conduct:Vote Checkmark--1 point
Had better spelling and grammar:Vote Checkmark--1 point
Made more convincing arguments:Vote Checkmark--3 points
Used the most reliable sources:Vote Checkmark--2 points
Total points awarded:70 
Reasons for voting decision: pro is retarded