What is #sqrt((x-1)^2)#?

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Answer 1 · 2017-03-14T20:35:21

#sqrt((x-1)^2) = abs(x-1)#

Note the necessity of using the absolute value.

Answer 2 · 2017-03-16T14:35:38

#x-1#

examples:

#color(red)(sqrt(2 xx 2)= sqrt2 xx sqrt2=2#

#color(red)(sqrt(5 xx 5)= sqrt5 xx sqrt5=5#

#sqrt((x-1)^2#

#=sqrt((x-1) xx (x-1))= sqrt(x-1) xx sqrt(x-1)=x-1#