Answer
No.
Work Step by Step
RECALL:
The value of $\sqrt{x}$ is always non-negative.
The expression $\sqrt{4a^2}$ can be simplified as:
$=\sqrt{(2^2)(a^2)}
\\=2|a|$
Note that if the absolute value is not applied, the value of $2a$ will be negative when $a$ is negative. This is not allowed.
Thus, there is a need to apply absolute to $a$ to make $2|a|$ nonnegative.
Therefore, the expression $\sqrt{4a62}$ is NOT necessarily equal to $2a$
