Find the following. Assume that the letter can represent any real number.
-$\sqrt{(-14 y)^{2}}$
A) $14|y|$
B) $14 \mathrm{y}$
C) $-14|y|$
D) $196|\mathrm{y}|$

Question

Quizplus · Accepted Answer

The expression $\sqrt{(-14 y)^{2}}$ simplifies to $14|y|$ because the square root and the square cancel each other out, but the absolute value is needed to ensure the result is non-negative, as the square root of a square yields the absolute value of the original number.

Find the Following (−14y)2\sqrt{(-14 y)^{2}}(−14y)2​ A) 14∣y∣14|y|14∣y∣ B) 14y14 \mathrm{y}14y C) −14∣y∣-14|y|−14∣y∣ D) 196∣y∣196|\mathrm{y}|196∣y∣

Find the Following $\sqrt{(-14 y)^{2}}$ A) $14|y|$ B) $14 \mathrm{y}$ C) $-14|y|$ D) $196|\mathrm{y}|$