SOLUTION: I am struggling with square roots. What is the SR of (R+3) squared?

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Question 416590: I am struggling with square roots. What is the SR of (R+3) squared?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The square root of anything squared is just that same thing back; however, this result is ALWAYS positive (or zero if it was originally zero). Basically, think of the square root "undoing" the square.


So this means that sqrt%28x%5E2%29=abs%28x%29 for any real x. Take note of the absolute value bars.


So in your case, x=R+3, which means that sqrt%28%28R%2B3%29%5E2%29=abs%28R%2B3%29


Now if you make the claim that R is a nonnegative number, then you can say sqrt%28%28R%2B3%29%5E2%29=R%2B3 because you won't have to worry about negative numbers.


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