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is this always true?

√x^2 = (√x)^2

Guest May 26, 2017
 #1
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YES !!!. Look at it this way: sqrt(4)^2 = [sqrt(4)]^2 =4 =4 !!

Guest May 26, 2017
 #2
avatar+90141 
+2

 

As long as  x ≥ 0

 

For instance....if x  = -3, we have

 

sqrt [ (-3)^2 ]   =  sqrt (9)  = 3

 

But

 

[ sqrt (-3) ]^2  = [ i sqrt (3) ] ^2  =  i^2 * 3  =    -3

 

 

 

cool cool cool

CPhill  May 26, 2017

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