Some possible equations
\(\sqrt{x+3}=\sqrt{x}+ 1\); 1 extraneous solution
\(\sqrt{x+3}=\sqrt{x} + 1\); 1 solution
\(x+ 3 = \sqrt{x+ 5}\); 2 solutions ( 1 extraneous): \(x = -1\) but \(x≠-4\)
Some possible equations
\(\sqrt{x+3}=\sqrt{x}+ 1\); 1 extraneous solution
\(\sqrt{x+3}=\sqrt{x} + 1\); 1 solution
\(x+ 3 = \sqrt{x+ 5}\); 2 solutions ( 1 extraneous): \(x = -1\) but \(x≠-4\)