Answer
n=14
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 2n-3=25. We add 3 to both sides of the equation and then divide both sides of the equation by 2 to isolate n and obtain: n=14
We now must check our solution:
$\sqrt{2(14)-3} = 5 \\\\\ \sqrt {25}=5 \\\\ 5=5$
This is true, so n=14.
