Question 271416
If your problem is not
{{{-sqrt(x^2+4x+4)}}}
then please repost your question and use parentheses around the expression that belongs inside the square root and use parentheses around the expression to which the "-" applies.<br>
To simplify this expression, we need to recognize that {{{x^2+4x+4}}} fits the pattern {{{a^2 +2ab + b^2 = (a+b)^2}}} with a = x and b = 2. So our expression can be rewritten as:
{{{-sqrt((x+2)^2)}}}
Now we have the square root of a perfect square! The easy mistake to make here is to think that {{{sqrt((x+2)^2) = x+2}}}. But a square root is supposed to positive. And x+2 may not be positive. So we use absolute value to ensure a positive square root:
{{{-abs(x+2)}}}