SOLUTION: What is the square root of x^2 +4x+4 Please explain how to solve it

Question 230444: What is the square root of x^2 +4x+4 Please explain how to solve it
Found 3 solutions by user_dude2008, Earlsdon, josmiceli:
Answer by user_dude2008(1862)   (Show Source): You can put this solution on YOUR website!
sqrt(x^2+4x+4)=sqrt((x+2)(x+2))=sqrt( (x+2)^2 ) = |x+2|
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Find the square root:
First, factor the trinomial.
Notice that so substitute.
and, of course, , so and...

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
When you ask "What is the square root?" you are
asking "What, multiplied by itself gives me a
certain quantity?"
I need to find smething that if multiplied by itself
gives me
The factors of this equation are of the form
and

Where and are the roots
If , then

and is the square root
I'll do the squaring on the left side

I can just match up coefficients
(1)
(2)
From (1),

From (2)

If , then

and, the square root of the
equation is answer

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