Question 83182
Are you asking if this is an identity?

{{{sqrt(x^2)=x}}}


Well lets try some values


Let x=2

{{{sqrt(2^2)=2}}} Plug in x=2


{{{sqrt(4)=2}}}


{{{2=2}}} works


Let x=3

{{{sqrt(3^2)=3}}} Plug in x=3


{{{sqrt(9)=3}}}


{{{3=3}}} works


Let x=4

{{{sqrt(4^2)=4}}} Plug in x=4


{{{sqrt(16)=4}}}


{{{4=4}}} works


Now lets try some negative values


Let x=-2

{{{sqrt((-2)^2)=-2}}} Plug in x=-2


{{{sqrt(4)=-2}}}


{{{2=-2}}} doesn't work. Since this equation is not true {{{sqrt(x^2)=x}}} is not an identity