Question

In the following exercises, solve.

$\sqrt{6s+4}=\sqrt{8s-28}$

Short answer

The solution is$16$

Step-by-step solution

Step 1. Given information

The given information is$\sqrt{6s+4}=\sqrt{8s-28}$

Step 2. Squaring on both sides

$$\begin{gathered} \sqrt{6s+4}=\sqrt{8s-28} \\ Squaringonbothsides \\ {\left(\sqrt{6s+4}\right)}^2={\left(\sqrt{8s-28}\right)}^2 \\ 6s+4=8s-28 \\ 2s=32 \\ s=16 \end{gathered}$$

The solution is$16$

Step 3. The solution 

The solution is$16$