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

Question

Quizplus · Accepted Answer

The correct answer is $14|y|$ because when you take the square root of a square, you must account for both the positive and negative possibilities, hence the absolute value. The square of $14y$ is $196y^2$, and its square root simplifies to $14|y|$, not $14y$ directly, to ensure the result is always non-negative.

Find the Following (14y)2\sqrt{(14 y)^{2}}(14y)2​ A) 196∣y∣196|y|196∣y∣ B) 14y14 \mathrm{y}14y C) ∣196y2∣\left|196 y^{2}\right|​196y2​ D) 14∣y∣14|y|14∣y∣

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