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Let's say that a square has an area of 4 units. Since the side lengths = sqrt(area), can they be negative? In theory, 2 x 2 = 4, and -2 x -2 = 4. So can I answer as +/- 2?

 Oct 12, 2015

Best Answer 

 #2
avatar+118723 
+5

Later on in maths you will find that there is often more than one answer to a question. But each answer needs to be examined to see if it is valid.  

This is an example of that.

 

yes  side squared =area

therefore

side = +/-sqrt( area)

BUT the length of a square must be positive so the negative answer is invalid.

Does that help?

 Oct 12, 2015
 #1
avatar
+5

In theory, yes! But, in real world that we live in, no.

 Oct 12, 2015
 #2
avatar+118723 
+5
Best Answer

Later on in maths you will find that there is often more than one answer to a question. But each answer needs to be examined to see if it is valid.  

This is an example of that.

 

yes  side squared =area

therefore

side = +/-sqrt( area)

BUT the length of a square must be positive so the negative answer is invalid.

Does that help?

Melody Oct 12, 2015

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