Simplify. Assume that all variables represent any real number.
-$\sqrt { x ^ { 2 } - 14 x + 49 }$
A) $- | x - 7 |$
B) $- x + 7$
C) $| x - 7 |$
D) $x - 7$

Name: Simplify. Assume that all variables represent any real number. -$\sqrt { x ^ { 2 } - 14 x + 49 }$ A) $- | x - 7 |$ B) $- x + 7$ C) $| x - 7 |$ D) $x - 7$
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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 Assume That All Variables Represent Any Real Number x2−14x+49\sqrt { x ^ { 2 } - 14 x + 49 }x2−14x+49​

Simplify Assume That All Variables Represent Any Real Number $\sqrt { x ^ { 2 } - 14 x + 49 }$