Question

Help me solve this equation. Just show the work and I will understand it!

Answer 1

\[\sqrt{2x+3}=1+\sqrt{x+1}\]

Answer 2

First of all, 2 things you need to know:

1. Getting rid of a square root, you need to square it, so: \((\sqrt{2x+3})^2\) , do the same thing to the RHS.

2. the RHS of the equation is in the form \((a+b)\), and once you square both sides of your eqaution fro step 1, you will end up with \((a+b)^2\) on the right side.\[(a+b)^2 = a^2+b^2 +2ab\]