Simplify $\sqrt { x ^ { 2 } - 14 x + 49 }$ . Assume all variables are unrestricted and use absolute value symbols when necessary.
A) x-7
B) $( x - 7 ) ^ { 2 }$
C) 7|x|
D) | x-7|

Question

Quizplus · Accepted Answer

The expression inside the square root, $x^2 - 14x + 49$, can be factored as $(x - 7)^2$. The square root of a square is the absolute value of the base, hence $\sqrt{(x - 7)^2} = |x - 7|$.

Simplify x2−14x+49\sqrt { x ^ { 2 } - 14 x + 49 }x2−14x+49​

Simplify $\sqrt { x ^ { 2 } - 14 x + 49 }$