Question 416590
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(x^2)=abs(x)}}} for any real x. Take note of the absolute value bars.



So in your case, x=R+3, which means that {{{sqrt((R+3)^2)=abs(R+3)}}}



Now if you make the claim that R is a nonnegative number, then you can say {{{sqrt((R+3)^2)=R+3}}} because you won't have to worry about negative numbers.



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