Simplify. Assume that all variables represent any real number.
-$\sqrt { 100 x ^ { 2 } }$
A) $10 \mathrm { x }$
B) $- 10 x$
C) $10 | x |$
D) $- 10 | \mathrm { x } |$

Question

Quizplus · Accepted Answer

The square root of $100x^2$ simplifies to $10|x|$ because the square root and the square cancel each other out, leaving the absolute value to ensure the result is non-negative, as required by the definition of a square root.

Simplify Assume That All Variables Represent Any Real Number 100x2\sqrt { 100 x ^ { 2 } }100x2​

Simplify Assume That All Variables Represent Any Real Number $\sqrt { 100 x ^ { 2 } }$