SOLUTION: Need help understand these. 2) Is ( square root of x)^2=x an identity (true for all nonnegative values of x)? Answer: Explain your answer in this space.

Question 36954: Need help understand these.
2) Is ( square root of x)^2=x an identity (true for all nonnegative values of x)?
Answer:
Explain your answer in this space.
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
is an identity.

ILLUSTRATION:
Suppose x = 8, then = = either or .
Now, as both and are equal to 8 (= x) hence the truth of the statement made above can easily be verified.

However, if x be a negative number, say, x = -4.
Then is imaginery and equals [where i = ]. So = = = -4 = x.
Thus, the proposition is also valid for negative real values of 'x'.
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