how can i simplify sqrt(x+3)^2?

Question

the only thing i could do was turn the x+3 into a quadratic

Answer 1

Yousuf, to firther what Degonimia said, let's look at 5. If I square 5, I get 25. If I take the square root of 25, I get 5.

 

If you square something under a radical, you get only what's under the radical. If you take the square root of something squared, you get just what is being squared.

 

Hope this makes sense!

Answer 2

square root of this will be x+3 only.you do not have to do much

Answer 3

I'm not quite sure if you are putting the x=3 to the second power first or if you are taking a square root first because of the way the problem is presented here. Make sure that you know that before attempting to solve the problem as it will affect your answer.

 

If the second power is below the root, then your answer should be an absolute value of what you had before or abs(x+3). That means that if x<-3, you end up with -x-3 or x+3 if x>=-3.

 

If you have to get the square root to the second power as in (sqrt(x+3))^2, then you end up with x+3 for x+3>0. We cannot take a square root out of a negative number and if you do you will end up with a mistake. You can do this  but in a different level of mathematics and I don't think that is what you are looking for here.

 

Please let me know if you need any more help with this.