Write as an absolute value.
-$\sqrt { z ^ { 2 } - 12 z + 36 }$
A)z + 6
B) $$\left| z ^ { 2 } - 12 z + 36 \right|$$
C) $| z - 6 |$
D)z - 6

Name: Write as an absolute value. -$\sqrt { z ^ { 2 } - 12 z + 36 }$ A)z + 6 B) \[\left| z ^ { 2 } - 12 z + 36 \right|\] C) $| z - 6 |$ D)z - 6
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Question

Quizplus · Accepted Answer

The expression inside the square root, $z^2 - 12z + 36$, can be factored as $(z - 6)^2$. The square root of a square is the absolute value of the base, hence $\sqrt{(z - 6)^2} = |z - 6|$.

Write as an Absolute Value z2−12z+36\sqrt { z ^ { 2 } - 12 z + 36 }z2−12z+36​

Write as an Absolute Value $\sqrt { z ^ { 2 } - 12 z + 36 }$