Find the following. Assume that the letter can represent any real number.
-$$\sqrt { 25 x ^ { 2 } + 40 x + 16 }$$
A) $\left| ( 5 x + 4 ) ^ { 2 } \right|$
B) $| 5 x + 4 |$
C) $| 5 x + 16 |$
D) $( 5 x + 4 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

The expression inside the square root, $25x^2 + 40x + 16$, can be factored as $(5x + 4)^2$. Taking the square root of this expression simplifies to $|5x + 4|$, because the square root and the square cancel each other out, leaving the absolute value due to the principle that the square root of a square is the absolute value of the original expression.

Find the Following 25x2+40x+16\sqrt { 25 x ^ { 2 } + 40 x + 16 }25x2+40x+16​

Find the Following $\sqrt { 25 x ^ { 2 } + 40 x + 16 }$