SOLUTION: Is the square root of x squared =x an identity (true for all values of x)? Explain.

Algebra ->  Algebra  -> Radicals -> SOLUTION: Is the square root of x squared =x an identity (true for all values of x)? Explain.      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 24473: Is the square root of x squared =x an identity (true for all values of x)? Explain.
Answer by josmiceli(6783) About Me  (Show Source):
You can put this solution on YOUR website!
It's not an identity.
sqrt%28x%5E2%29 can be plus or minus, that holds for all square roots.
Lets say x = -1
sqrt%28%28-1%29%5E2%29+=+sqrt%281%29 because (-1)^2 is +1
sqrt%281%29+=+%2B-+1 because square root always can be + or -
-1 = -1
but
+1 not = -1