Answer
a=6
Work Step by Step
Recall, in order to cancel out a square root, we square both sides of the equation. Thus, we square both sides of the equation to obtain that 3a-2=2a+4. We now simplify:
$ a-2 =4 \\\\ a=6$
We now must check our solution:
$\sqrt{3(6)-2}=\sqrt{2(6)+4} \\\\ \sqrt{16}=\sqrt{16} \\\\ 4=4$
This is true, so our solution is valid.
