Find the following. Assume that the letter can represent any real number.
-$\sqrt{z^{2}+10 z+25}$
A) $(z+5)^{2}$
B) $\left|(z+5)^{2}\right|$
C) $|z+5|$
D) $z+5$

Question

Quizplus · Accepted Answer

The expression inside the square root, $z^{2}+10z+25$, can be factored as $(z+5)^2$. Taking the square root of this gives $|z+5|$, because the square root of a square is the absolute value of the original expression.

Find the Following z2+10z+25\sqrt{z^{2}+10 z+25}z2+10z+25​ A) (z+5)2(z+5)^{2}(z+5)2 B) ∣(z+5)2∣\left|(z+5)^{2}\right|​(z+5)2​ C) ∣z+5∣|z+5|∣z+5∣ D) z+5z+5z+5

Find the Following $\sqrt{z^{2}+10 z+25}$ A) $(z+5)^{2}$ B) $\left|(z+5)^{2}\right|$ C) $|z+5|$ D) $z+5$