SOLUTION: I don't understand this question. Is {{{sqrt(x^2)=x}}} an identity (true for all values of x)? Explain your answer.

Algebra ->  Radicals -> SOLUTION: I don't understand this question. Is {{{sqrt(x^2)=x}}} an identity (true for all values of x)? Explain your answer.      Log On


   

Question 63812: I don't understand this question.
Is sqrt%28x%5E2%29=x an identity (true for all values of x)? Explain your answer.
Answer by sarahschober(35) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%5E2%29does not necessarily equal x.
The equality holds for non-negative x, but when x < 0,sqrt%28x%5E2%29
is positive by definition, and thussqrt%28x%5E2%29=+-x
Therefore, sqrt%28x%5E2%29= the absolute value of x.