Question

In the following exercises, solve.

$\sqrt{6n+1}+4=8$.

Short answer

$n=2.5$.

Step-by-step solution

Step 1. Given information.

To solve$\sqrt{6n+1}+4=8$.

Step 2. Solution.

Isolate radical to one side, take square and simplify.

$$\begin{gathered} \sqrt{6n+1}+4=8 \\ \sqrt{6n+1}+4-4=8-4 \\ \sqrt{6n+1}=4 \\ {\left(\sqrt{6n+1}\right)}^2=4^2 \\ 6n+1=16 \\ 6n+1-1=16-1 \\ 6n=15 \\ \frac{6n}{6}=\frac{15}{6} \\ n=2.5 \end{gathered}$$